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Finding the Fourth Proportional to 212,102.76, 292,703.78 and 116,610.13

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Solution

The fourth proportional to 212,102.76, 292,703.78 and 116,610.13 is: 160,923.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,102.76 : 292,703.78 = 116,610.13 : x
  2. Step 2: Convert to fraction form
    212,102.76/292,703.78 = 116,610.13/x
  3. Step 3: Cross multiply
    212,102.76x = 292,703.78 × 116,610.13
  4. Step 4: Simplify right side
    212,102.76x = 34,132,223,790.72
  5. Step 5: Solve for x
    x = 34,132,223,790.72/212,102.76
  6. Step 6: Final answer
    x = 160,923.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.