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Finding the Fourth Proportional to 157,153.86, 216,871.68 and 85,533.87

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Solution

The fourth proportional to 157,153.86, 216,871.68 and 85,533.87 is: 118,036.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,153.86 : 216,871.68 = 85,533.87 : x
  2. Step 2: Convert to fraction form
    157,153.86/216,871.68 = 85,533.87/x
  3. Step 3: Cross multiply
    157,153.86x = 216,871.68 × 85,533.87
  4. Step 4: Simplify right side
    157,153.86x = 18,549,874,083.80
  5. Step 5: Solve for x
    x = 18,549,874,083.80/157,153.86
  6. Step 6: Final answer
    x = 118,036.39

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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.