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Finding the Fourth Proportional to 238,162.40, 357,070.80 and 97,848.80

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Solution

The fourth proportional to 238,162.40, 357,070.80 and 97,848.80 is: 146,702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,162.40 : 357,070.80 = 97,848.80 : x
  2. Step 2: Convert to fraction form
    238,162.40/357,070.80 = 97,848.80/x
  3. Step 3: Cross multiply
    238,162.40x = 357,070.80 × 97,848.80
  4. Step 4: Simplify right side
    238,162.40x = 34,938,949,295.04
  5. Step 5: Solve for x
    x = 34,938,949,295.04/238,162.40
  6. Step 6: Final answer
    x = 146,702.21

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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.