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Finding the Fourth Proportional to 177,948, 245,568.96 and 98,460

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Solution

The fourth proportional to 177,948, 245,568.96 and 98,460 is: 135,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,948 : 245,568.96 = 98,460 : x
  2. Step 2: Convert to fraction form
    177,948/245,568.96 = 98,460/x
  3. Step 3: Cross multiply
    177,948x = 245,568.96 × 98,460
  4. Step 4: Simplify right side
    177,948x = 24,178,719,801.60
  5. Step 5: Solve for x
    x = 24,178,719,801.60/177,948
  6. Step 6: Final answer
    x = 135,875.20

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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.