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Finding the Fourth Proportional to 211,710.38, 292,163.74 and 114,916.15

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Solution

The fourth proportional to 211,710.38, 292,163.74 and 114,916.15 is: 158,586.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,710.38 : 292,163.74 = 114,916.15 : x
  2. Step 2: Convert to fraction form
    211,710.38/292,163.74 = 114,916.15/x
  3. Step 3: Cross multiply
    211,710.38x = 292,163.74 × 114,916.15
  4. Step 4: Simplify right side
    211,710.38x = 33,574,332,894.72
  5. Step 5: Solve for x
    x = 33,574,332,894.72/211,710.38
  6. Step 6: Final answer
    x = 158,586.15

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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.