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Finding the Fourth Proportional to 129,224.32, 178,303.41 and 75,498.95

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Solution

The fourth proportional to 129,224.32, 178,303.41 and 75,498.95 is: 104,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,224.32 : 178,303.41 = 75,498.95 : x
  2. Step 2: Convert to fraction form
    129,224.32/178,303.41 = 75,498.95/x
  3. Step 3: Cross multiply
    129,224.32x = 178,303.41 × 75,498.95
  4. Step 4: Simplify right side
    129,224.32x = 13,461,720,682.18
  5. Step 5: Solve for x
    x = 13,461,720,682.18/129,224.32
  6. Step 6: Final answer
    x = 104,173.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.