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Finding the Fourth Proportional to 176,782.50, 243,959.85 and 101,374.74

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Solution

The fourth proportional to 176,782.50, 243,959.85 and 101,374.74 is: 139,897.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,782.50 : 243,959.85 = 101,374.74 : x
  2. Step 2: Convert to fraction form
    176,782.50/243,959.85 = 101,374.74/x
  3. Step 3: Cross multiply
    176,782.50x = 243,959.85 × 101,374.74
  4. Step 4: Simplify right side
    176,782.50x = 24,731,366,364.19
  5. Step 5: Solve for x
    x = 24,731,366,364.19/176,782.50
  6. Step 6: Final answer
    x = 139,897.14

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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.