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Finding the Fourth Proportional to 144,217.86, 216,033 and 117,658.50

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Solution

The fourth proportional to 144,217.86, 216,033 and 117,658.50 is: 176,248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,217.86 : 216,033 = 117,658.50 : x
  2. Step 2: Convert to fraction form
    144,217.86/216,033 = 117,658.50/x
  3. Step 3: Cross multiply
    144,217.86x = 216,033 × 117,658.50
  4. Step 4: Simplify right side
    144,217.86x = 25,418,118,730.50
  5. Step 5: Solve for x
    x = 25,418,118,730.50/144,217.86
  6. Step 6: Final answer
    x = 176,248.06

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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.