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Finding the Fourth Proportional to 147,502.90, 221,262.59 and 42,319

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Solution

The fourth proportional to 147,502.90, 221,262.59 and 42,319 is: 63,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,502.90 : 221,262.59 = 42,319 : x
  2. Step 2: Convert to fraction form
    147,502.90/221,262.59 = 42,319/x
  3. Step 3: Cross multiply
    147,502.90x = 221,262.59 × 42,319
  4. Step 4: Simplify right side
    147,502.90x = 9,363,611,546.21
  5. Step 5: Solve for x
    x = 9,363,611,546.21/147,502.90
  6. Step 6: Final answer
    x = 63,480.86

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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.