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Finding the Fourth Proportional to 152,773.63, 229,166.65 and 72,770.47

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Solution

The fourth proportional to 152,773.63, 229,166.65 and 72,770.47 is: 109,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,773.63 : 229,166.65 = 72,770.47 : x
  2. Step 2: Convert to fraction form
    152,773.63/229,166.65 = 72,770.47/x
  3. Step 3: Cross multiply
    152,773.63x = 229,166.65 × 72,770.47
  4. Step 4: Simplify right side
    152,773.63x = 16,676,563,682.99
  5. Step 5: Solve for x
    x = 16,676,563,682.99/152,773.63
  6. Step 6: Final answer
    x = 109,158.66

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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.