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Finding the Fourth Proportional to 308,521.90, 462,829.02 and 98,207.02

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Solution

The fourth proportional to 308,521.90, 462,829.02 and 98,207.02 is: 147,325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,521.90 : 462,829.02 = 98,207.02 : x
  2. Step 2: Convert to fraction form
    308,521.90/462,829.02 = 98,207.02/x
  3. Step 3: Cross multiply
    308,521.90x = 462,829.02 × 98,207.02
  4. Step 4: Simplify right side
    308,521.90x = 45,453,058,823.72
  5. Step 5: Solve for x
    x = 45,453,058,823.72/308,521.90
  6. Step 6: Final answer
    x = 147,325.23

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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.