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Finding the Fourth Proportional to 177,641.60, 245,138.09 and 97,071.90

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Solution

The fourth proportional to 177,641.60, 245,138.09 and 97,071.90 is: 133,955.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,641.60 : 245,138.09 = 97,071.90 : x
  2. Step 2: Convert to fraction form
    177,641.60/245,138.09 = 97,071.90/x
  3. Step 3: Cross multiply
    177,641.60x = 245,138.09 × 97,071.90
  4. Step 4: Simplify right side
    177,641.60x = 23,796,020,158.67
  5. Step 5: Solve for x
    x = 23,796,020,158.67/177,641.60
  6. Step 6: Final answer
    x = 133,955.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.