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Finding the Fourth Proportional to 98,230.64, 147,356.84 and 35,065.52

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Solution

The fourth proportional to 98,230.64, 147,356.84 and 35,065.52 is: 52,602.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,230.64 : 147,356.84 = 35,065.52 : x
  2. Step 2: Convert to fraction form
    98,230.64/147,356.84 = 35,065.52/x
  3. Step 3: Cross multiply
    98,230.64x = 147,356.84 × 35,065.52
  4. Step 4: Simplify right side
    98,230.64x = 5,167,144,220.16
  5. Step 5: Solve for x
    x = 5,167,144,220.16/98,230.64
  6. Step 6: Final answer
    x = 52,602.16

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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.