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Finding the Fourth Proportional to 136,130.46, 204,215.13 and 42,643.50

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Solution

The fourth proportional to 136,130.46, 204,215.13 and 42,643.50 is: 63,971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,130.46 : 204,215.13 = 42,643.50 : x
  2. Step 2: Convert to fraction form
    136,130.46/204,215.13 = 42,643.50/x
  3. Step 3: Cross multiply
    136,130.46x = 204,215.13 × 42,643.50
  4. Step 4: Simplify right side
    136,130.46x = 8,708,447,896.16
  5. Step 5: Solve for x
    x = 8,708,447,896.16/136,130.46
  6. Step 6: Final answer
    x = 63,971.34

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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.