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Finding the Fourth Proportional to 282,454.61, 423,525.96 and 147,180.95

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Solution

The fourth proportional to 282,454.61, 423,525.96 and 147,180.95 is: 220,690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,454.61 : 423,525.96 = 147,180.95 : x
  2. Step 2: Convert to fraction form
    282,454.61/423,525.96 = 147,180.95/x
  3. Step 3: Cross multiply
    282,454.61x = 423,525.96 × 147,180.95
  4. Step 4: Simplify right side
    282,454.61x = 62,334,954,477.24
  5. Step 5: Solve for x
    x = 62,334,954,477.24/282,454.61
  6. Step 6: Final answer
    x = 220,690.16

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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.