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Finding the Fourth Proportional to 292,125.24, 403,133.10 and 157,989.24

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Solution

The fourth proportional to 292,125.24, 403,133.10 and 157,989.24 is: 218,025.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,125.24 : 403,133.10 = 157,989.24 : x
  2. Step 2: Convert to fraction form
    292,125.24/403,133.10 = 157,989.24/x
  3. Step 3: Cross multiply
    292,125.24x = 403,133.10 × 157,989.24
  4. Step 4: Simplify right side
    292,125.24x = 63,690,692,087.84
  5. Step 5: Solve for x
    x = 63,690,692,087.84/292,125.24
  6. Step 6: Final answer
    x = 218,025.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.