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Finding the Fourth Proportional to 177,838.88, 245,414.20 and 97,266.16

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Solution

The fourth proportional to 177,838.88, 245,414.20 and 97,266.16 is: 134,225.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,838.88 : 245,414.20 = 97,266.16 : x
  2. Step 2: Convert to fraction form
    177,838.88/245,414.20 = 97,266.16/x
  3. Step 3: Cross multiply
    177,838.88x = 245,414.20 × 97,266.16
  4. Step 4: Simplify right side
    177,838.88x = 23,870,495,130.07
  5. Step 5: Solve for x
    x = 23,870,495,130.07/177,838.88
  6. Step 6: Final answer
    x = 134,225.40

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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.