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Finding the Fourth Proportional to 157,102.07, 216,801.79 and 85,482.52

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Solution

The fourth proportional to 157,102.07, 216,801.79 and 85,482.52 is: 117,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,102.07 : 216,801.79 = 85,482.52 : x
  2. Step 2: Convert to fraction form
    157,102.07/216,801.79 = 85,482.52/x
  3. Step 3: Cross multiply
    157,102.07x = 216,801.79 × 85,482.52
  4. Step 4: Simplify right side
    157,102.07x = 18,532,762,594.00
  5. Step 5: Solve for x
    x = 18,532,762,594.00/157,102.07
  6. Step 6: Final answer
    x = 117,966.38

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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.