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Finding the Fourth Proportional to 178,246.52, 245,969.52 and 97,658

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Solution

The fourth proportional to 178,246.52, 245,969.52 and 97,658 is: 134,762.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,246.52 : 245,969.52 = 97,658 : x
  2. Step 2: Convert to fraction form
    178,246.52/245,969.52 = 97,658/x
  3. Step 3: Cross multiply
    178,246.52x = 245,969.52 × 97,658
  4. Step 4: Simplify right side
    178,246.52x = 24,020,891,384.16
  5. Step 5: Solve for x
    x = 24,020,891,384.16/178,246.52
  6. Step 6: Final answer
    x = 134,762.19

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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.