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Finding the Fourth Proportional to 152,838.69, 228,934.84 and 96,649.80

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Solution

The fourth proportional to 152,838.69, 228,934.84 and 96,649.80 is: 144,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,838.69 : 228,934.84 = 96,649.80 : x
  2. Step 2: Convert to fraction form
    152,838.69/228,934.84 = 96,649.80/x
  3. Step 3: Cross multiply
    152,838.69x = 228,934.84 × 96,649.80
  4. Step 4: Simplify right side
    152,838.69x = 22,126,506,499.03
  5. Step 5: Solve for x
    x = 22,126,506,499.03/152,838.69
  6. Step 6: Final answer
    x = 144,770.32

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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.