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Finding the Fourth Proportional to 177,875.43, 245,473.95 and 97,301.11

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Solution

The fourth proportional to 177,875.43, 245,473.95 and 97,301.11 is: 134,278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,875.43 : 245,473.95 = 97,301.11 : x
  2. Step 2: Convert to fraction form
    177,875.43/245,473.95 = 97,301.11/x
  3. Step 3: Cross multiply
    177,875.43x = 245,473.95 × 97,301.11
  4. Step 4: Simplify right side
    177,875.43x = 23,884,887,811.08
  5. Step 5: Solve for x
    x = 23,884,887,811.08/177,875.43
  6. Step 6: Final answer
    x = 134,278.74

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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.