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Finding the Fourth Proportional to 288,031.20, 432,176.40 and 130,178.40

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Solution

The fourth proportional to 288,031.20, 432,176.40 and 130,178.40 is: 195,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,031.20 : 432,176.40 = 130,178.40 : x
  2. Step 2: Convert to fraction form
    288,031.20/432,176.40 = 130,178.40/x
  3. Step 3: Cross multiply
    288,031.20x = 432,176.40 × 130,178.40
  4. Step 4: Simplify right side
    288,031.20x = 56,260,032,269.76
  5. Step 5: Solve for x
    x = 56,260,032,269.76/288,031.20
  6. Step 6: Final answer
    x = 195,326.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.