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Finding the Fourth Proportional to 292,098.30, 437,974.65 and 152,130.30

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Solution

The fourth proportional to 292,098.30, 437,974.65 and 152,130.30 is: 228,105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,098.30 : 437,974.65 = 152,130.30 : x
  2. Step 2: Convert to fraction form
    292,098.30/437,974.65 = 152,130.30/x
  3. Step 3: Cross multiply
    292,098.30x = 437,974.65 × 152,130.30
  4. Step 4: Simplify right side
    292,098.30x = 66,629,214,896.90
  5. Step 5: Solve for x
    x = 66,629,214,896.90/292,098.30
  6. Step 6: Final answer
    x = 228,105.45

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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.