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Finding the Fourth Proportional to 285,178.72, 428,543.52 and 152,152.96

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Solution

The fourth proportional to 285,178.72, 428,543.52 and 152,152.96 is: 228,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,178.72 : 428,543.52 = 152,152.96 : x
  2. Step 2: Convert to fraction form
    285,178.72/428,543.52 = 152,152.96/x
  3. Step 3: Cross multiply
    285,178.72x = 428,543.52 × 152,152.96
  4. Step 4: Simplify right side
    285,178.72x = 65,204,165,056.82
  5. Step 5: Solve for x
    x = 65,204,165,056.82/285,178.72
  6. Step 6: Final answer
    x = 228,643.16

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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.