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Finding the Fourth Proportional to 502,085.64, 753,128.52 and 147,099.72

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Solution

The fourth proportional to 502,085.64, 753,128.52 and 147,099.72 is: 220,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,085.64 : 753,128.52 = 147,099.72 : x
  2. Step 2: Convert to fraction form
    502,085.64/753,128.52 = 147,099.72/x
  3. Step 3: Cross multiply
    502,085.64x = 753,128.52 × 147,099.72
  4. Step 4: Simplify right side
    502,085.64x = 110,784,994,416.01
  5. Step 5: Solve for x
    x = 110,784,994,416.01/502,085.64
  6. Step 6: Final answer
    x = 220,649.60

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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.