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Finding the Fourth Proportional to 106,038, 146,329.32 and 60,714.48

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Solution

The fourth proportional to 106,038, 146,329.32 and 60,714.48 is: 83,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,038 : 146,329.32 = 60,714.48 : x
  2. Step 2: Convert to fraction form
    106,038/146,329.32 = 60,714.48/x
  3. Step 3: Cross multiply
    106,038x = 146,329.32 × 60,714.48
  4. Step 4: Simplify right side
    106,038x = 8,884,308,572.55
  5. Step 5: Solve for x
    x = 8,884,308,572.55/106,038
  6. Step 6: Final answer
    x = 83,784.20

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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.