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Finding the Fourth Proportional to 364,766.61, 546,775.80 and 140,066.55

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Solution

The fourth proportional to 364,766.61, 546,775.80 and 140,066.55 is: 209,956.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,766.61 : 546,775.80 = 140,066.55 : x
  2. Step 2: Convert to fraction form
    364,766.61/546,775.80 = 140,066.55/x
  3. Step 3: Cross multiply
    364,766.61x = 546,775.80 × 140,066.55
  4. Step 4: Simplify right side
    364,766.61x = 76,584,999,929.49
  5. Step 5: Solve for x
    x = 76,584,999,929.49/364,766.61
  6. Step 6: Final answer
    x = 209,956.17

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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.