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Finding the Fourth Proportional to 266,095.30, 398,931 and 153,647.86

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Solution

The fourth proportional to 266,095.30, 398,931 and 153,647.86 is: 230,349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,095.30 : 398,931 = 153,647.86 : x
  2. Step 2: Convert to fraction form
    266,095.30/398,931 = 153,647.86/x
  3. Step 3: Cross multiply
    266,095.30x = 398,931 × 153,647.86
  4. Step 4: Simplify right side
    266,095.30x = 61,294,894,437.66
  5. Step 5: Solve for x
    x = 61,294,894,437.66/266,095.30
  6. Step 6: Final answer
    x = 230,349.41

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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.