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Finding the Fourth Proportional to 282,102.32, 423,153.92 and 99,868.71

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Solution

The fourth proportional to 282,102.32, 423,153.92 and 99,868.71 is: 149,803.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,102.32 : 423,153.92 = 99,868.71 : x
  2. Step 2: Convert to fraction form
    282,102.32/423,153.92 = 99,868.71/x
  3. Step 3: Cross multiply
    282,102.32x = 423,153.92 × 99,868.71
  4. Step 4: Simplify right side
    282,102.32x = 42,259,835,622.50
  5. Step 5: Solve for x
    x = 42,259,835,622.50/282,102.32
  6. Step 6: Final answer
    x = 149,803.22

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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.