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Finding the Fourth Proportional to 238,605.08, 357,645.16 and 98,287.16

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Solution

The fourth proportional to 238,605.08, 357,645.16 and 98,287.16 is: 147,322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,605.08 : 357,645.16 = 98,287.16 : x
  2. Step 2: Convert to fraction form
    238,605.08/357,645.16 = 98,287.16/x
  3. Step 3: Cross multiply
    238,605.08x = 357,645.16 × 98,287.16
  4. Step 4: Simplify right side
    238,605.08x = 35,151,927,064.15
  5. Step 5: Solve for x
    x = 35,151,927,064.15/238,605.08
  6. Step 6: Final answer
    x = 147,322.63

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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.