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Finding the Fourth Proportional to 288,670.55, 432,898.11 and 99,077.12

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Solution

The fourth proportional to 288,670.55, 432,898.11 and 99,077.12 is: 148,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,670.55 : 432,898.11 = 99,077.12 : x
  2. Step 2: Convert to fraction form
    288,670.55/432,898.11 = 99,077.12/x
  3. Step 3: Cross multiply
    288,670.55x = 432,898.11 × 99,077.12
  4. Step 4: Simplify right side
    288,670.55x = 42,890,295,827.75
  5. Step 5: Solve for x
    x = 42,890,295,827.75/288,670.55
  6. Step 6: Final answer
    x = 148,578.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.