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Finding the Fourth Proportional to 117,710.40, 176,500.80 and 47,510.40

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Solution

The fourth proportional to 117,710.40, 176,500.80 and 47,510.40 is: 71,239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,710.40 : 176,500.80 = 47,510.40 : x
  2. Step 2: Convert to fraction form
    117,710.40/176,500.80 = 47,510.40/x
  3. Step 3: Cross multiply
    117,710.40x = 176,500.80 × 47,510.40
  4. Step 4: Simplify right side
    117,710.40x = 8,385,623,608.32
  5. Step 5: Solve for x
    x = 8,385,623,608.32/117,710.40
  6. Step 6: Final answer
    x = 71,239.45

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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.