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Finding the Fourth Proportional to 178,058.32, 245,719.68 and 96,386.64

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Solution

The fourth proportional to 178,058.32, 245,719.68 and 96,386.64 is: 133,013.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,058.32 : 245,719.68 = 96,386.64 : x
  2. Step 2: Convert to fraction form
    178,058.32/245,719.68 = 96,386.64/x
  3. Step 3: Cross multiply
    178,058.32x = 245,719.68 × 96,386.64
  4. Step 4: Simplify right side
    178,058.32x = 23,684,094,337.08
  5. Step 5: Solve for x
    x = 23,684,094,337.08/178,058.32
  6. Step 6: Final answer
    x = 133,013.13

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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.