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Finding the Fourth Proportional to 98,422.91, 147,598.14 and 77,404.02

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Solution

The fourth proportional to 98,422.91, 147,598.14 and 77,404.02 is: 116,077.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,422.91 : 147,598.14 = 77,404.02 : x
  2. Step 2: Convert to fraction form
    98,422.91/147,598.14 = 77,404.02/x
  3. Step 3: Cross multiply
    98,422.91x = 147,598.14 × 77,404.02
  4. Step 4: Simplify right side
    98,422.91x = 11,424,688,255.51
  5. Step 5: Solve for x
    x = 11,424,688,255.51/98,422.91
  6. Step 6: Final answer
    x = 116,077.53

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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.