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Finding the Fourth Proportional to 286,132.50, 429,275.30 and 99,144

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Solution

The fourth proportional to 286,132.50, 429,275.30 and 99,144 is: 148,742.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,132.50 : 429,275.30 = 99,144 : x
  2. Step 2: Convert to fraction form
    286,132.50/429,275.30 = 99,144/x
  3. Step 3: Cross multiply
    286,132.50x = 429,275.30 × 99,144
  4. Step 4: Simplify right side
    286,132.50x = 42,560,069,847.48
  5. Step 5: Solve for x
    x = 42,560,069,847.48/286,132.50
  6. Step 6: Final answer
    x = 148,742.52

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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.