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Finding the Fourth Proportional to 176,195.52, 243,051.84 and 115,776

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Solution

The fourth proportional to 176,195.52, 243,051.84 and 115,776 is: 159,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,195.52 : 243,051.84 = 115,776 : x
  2. Step 2: Convert to fraction form
    176,195.52/243,051.84 = 115,776/x
  3. Step 3: Cross multiply
    176,195.52x = 243,051.84 × 115,776
  4. Step 4: Simplify right side
    176,195.52x = 28,139,569,827.84
  5. Step 5: Solve for x
    x = 28,139,569,827.84/176,195.52
  6. Step 6: Final answer
    x = 159,706.50

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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.