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Finding the Fourth Proportional to 338,089.86, 466,543.36 and 185,129.87

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Solution

The fourth proportional to 338,089.86, 466,543.36 and 185,129.87 is: 255,467.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,089.86 : 466,543.36 = 185,129.87 : x
  2. Step 2: Convert to fraction form
    338,089.86/466,543.36 = 185,129.87/x
  3. Step 3: Cross multiply
    338,089.86x = 466,543.36 × 185,129.87
  4. Step 4: Simplify right side
    338,089.86x = 86,371,111,586.16
  5. Step 5: Solve for x
    x = 86,371,111,586.16/338,089.86
  6. Step 6: Final answer
    x = 255,467.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.