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Finding the Fourth Proportional to 282,643.80, 423,965.70 and 95,655.30

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Solution

The fourth proportional to 282,643.80, 423,965.70 and 95,655.30 is: 143,482.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,643.80 : 423,965.70 = 95,655.30 : x
  2. Step 2: Convert to fraction form
    282,643.80/423,965.70 = 95,655.30/x
  3. Step 3: Cross multiply
    282,643.80x = 423,965.70 × 95,655.30
  4. Step 4: Simplify right side
    282,643.80x = 40,554,566,223.21
  5. Step 5: Solve for x
    x = 40,554,566,223.21/282,643.80
  6. Step 6: Final answer
    x = 143,482.95

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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.