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Finding the Fourth Proportional to 98,378.17, 147,598.40 and 35,196.90

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Solution

The fourth proportional to 98,378.17, 147,598.40 and 35,196.90 is: 52,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,378.17 : 147,598.40 = 35,196.90 : x
  2. Step 2: Convert to fraction form
    98,378.17/147,598.40 = 35,196.90/x
  3. Step 3: Cross multiply
    98,378.17x = 147,598.40 × 35,196.90
  4. Step 4: Simplify right side
    98,378.17x = 5,195,006,124.96
  5. Step 5: Solve for x
    x = 5,195,006,124.96/98,378.17
  6. Step 6: Final answer
    x = 52,806.49

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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.