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Finding the Fourth Proportional to 282,415.20, 423,622.80 and 95,426.70

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Solution

The fourth proportional to 282,415.20, 423,622.80 and 95,426.70 is: 143,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,415.20 : 423,622.80 = 95,426.70 : x
  2. Step 2: Convert to fraction form
    282,415.20/423,622.80 = 95,426.70/x
  3. Step 3: Cross multiply
    282,415.20x = 423,622.80 × 95,426.70
  4. Step 4: Simplify right side
    282,415.20x = 40,424,925,848.76
  5. Step 5: Solve for x
    x = 40,424,925,848.76/282,415.20
  6. Step 6: Final answer
    x = 143,140.05

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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.