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Finding the Fourth Proportional to 266,095.50, 398,931.24 and 153,648.16

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Solution

The fourth proportional to 266,095.50, 398,931.24 and 153,648.16 is: 230,349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,095.50 : 398,931.24 = 153,648.16 : x
  2. Step 2: Convert to fraction form
    266,095.50/398,931.24 = 153,648.16/x
  3. Step 3: Cross multiply
    266,095.50x = 398,931.24 × 153,648.16
  4. Step 4: Simplify right side
    266,095.50x = 61,295,050,992.52
  5. Step 5: Solve for x
    x = 61,295,050,992.52/266,095.50
  6. Step 6: Final answer
    x = 230,349.82

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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.