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Finding the Fourth Proportional to 157,059.61, 235,500.16 and 107,200.06

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Solution

The fourth proportional to 157,059.61, 235,500.16 and 107,200.06 is: 160,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,059.61 : 235,500.16 = 107,200.06 : x
  2. Step 2: Convert to fraction form
    157,059.61/235,500.16 = 107,200.06/x
  3. Step 3: Cross multiply
    157,059.61x = 235,500.16 × 107,200.06
  4. Step 4: Simplify right side
    157,059.61x = 25,245,631,282.01
  5. Step 5: Solve for x
    x = 25,245,631,282.01/157,059.61
  6. Step 6: Final answer
    x = 160,739.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.