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Finding the Fourth Proportional to 175,572, 242,289.84 and 96,084

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Solution

The fourth proportional to 175,572, 242,289.84 and 96,084 is: 132,596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,572 : 242,289.84 = 96,084 : x
  2. Step 2: Convert to fraction form
    175,572/242,289.84 = 96,084/x
  3. Step 3: Cross multiply
    175,572x = 242,289.84 × 96,084
  4. Step 4: Simplify right side
    175,572x = 23,280,176,986.56
  5. Step 5: Solve for x
    x = 23,280,176,986.56/175,572
  6. Step 6: Final answer
    x = 132,596.18

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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.