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Finding the Fourth Proportional to 98,419.64, 147,407.50 and 45,718.22

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Solution

The fourth proportional to 98,419.64, 147,407.50 and 45,718.22 is: 68,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,419.64 : 147,407.50 = 45,718.22 : x
  2. Step 2: Convert to fraction form
    98,419.64/147,407.50 = 45,718.22/x
  3. Step 3: Cross multiply
    98,419.64x = 147,407.50 × 45,718.22
  4. Step 4: Simplify right side
    98,419.64x = 6,739,208,387.54
  5. Step 5: Solve for x
    x = 6,739,208,387.54/98,419.64
  6. Step 6: Final answer
    x = 68,474.22

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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.