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Finding the Fourth Proportional to 144,000.98, 216,001.46 and 117,756.98

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Solution

The fourth proportional to 144,000.98, 216,001.46 and 117,756.98 is: 176,635.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,000.98 : 216,001.46 = 117,756.98 : x
  2. Step 2: Convert to fraction form
    144,000.98/216,001.46 = 117,756.98/x
  3. Step 3: Cross multiply
    144,000.98x = 216,001.46 × 117,756.98
  4. Step 4: Simplify right side
    144,000.98x = 25,435,678,819.58
  5. Step 5: Solve for x
    x = 25,435,678,819.58/144,000.98
  6. Step 6: Final answer
    x = 176,635.46

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1.5x scale

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.