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Finding the Fourth Proportional to 157,140.68, 235,399.98 and 137,441.48

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Solution

The fourth proportional to 157,140.68, 235,399.98 and 137,441.48 is: 205,890.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,140.68 : 235,399.98 = 137,441.48 : x
  2. Step 2: Convert to fraction form
    157,140.68/235,399.98 = 137,441.48/x
  3. Step 3: Cross multiply
    157,140.68x = 235,399.98 × 137,441.48
  4. Step 4: Simplify right side
    157,140.68x = 32,353,721,643.17
  5. Step 5: Solve for x
    x = 32,353,721,643.17/157,140.68
  6. Step 6: Final answer
    x = 205,890.17

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