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Finding the Fourth Proportional to 243,814.88, 365,390.13 and 117,445.94

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Solution

The fourth proportional to 243,814.88, 365,390.13 and 117,445.94 is: 176,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,814.88 : 365,390.13 = 117,445.94 : x
  2. Step 2: Convert to fraction form
    243,814.88/365,390.13 = 117,445.94/x
  3. Step 3: Cross multiply
    243,814.88x = 365,390.13 × 117,445.94
  4. Step 4: Simplify right side
    243,814.88x = 42,913,587,284.57
  5. Step 5: Solve for x
    x = 42,913,587,284.57/243,814.88
  6. Step 6: Final answer
    x = 176,008.89

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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.