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Finding the Fourth Proportional to 212,106.52, 292,699.47 and 116,612.47

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Solution

The fourth proportional to 212,106.52, 292,699.47 and 116,612.47 is: 160,921.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,106.52 : 292,699.47 = 116,612.47 : x
  2. Step 2: Convert to fraction form
    212,106.52/292,699.47 = 116,612.47/x
  3. Step 3: Cross multiply
    212,106.52x = 292,699.47 × 116,612.47
  4. Step 4: Simplify right side
    212,106.52x = 34,132,408,164.39
  5. Step 5: Solve for x
    x = 34,132,408,164.39/212,106.52
  6. Step 6: Final answer
    x = 160,921.07

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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.