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Finding the Fourth Proportional to 157,586.70, 235,150.95 and 140,602.95

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Solution

The fourth proportional to 157,586.70, 235,150.95 and 140,602.95 is: 209,807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,586.70 : 235,150.95 = 140,602.95 : x
  2. Step 2: Convert to fraction form
    157,586.70/235,150.95 = 140,602.95/x
  3. Step 3: Cross multiply
    157,586.70x = 235,150.95 × 140,602.95
  4. Step 4: Simplify right side
    157,586.70x = 33,062,917,265.30
  5. Step 5: Solve for x
    x = 33,062,917,265.30/157,586.70
  6. Step 6: Final answer
    x = 209,807.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.