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Finding the Fourth Proportional to 178,191.97, 245,904.91 and 106,572

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Solution

The fourth proportional to 178,191.97, 245,904.91 and 106,572 is: 147,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,191.97 : 245,904.91 = 106,572 : x
  2. Step 2: Convert to fraction form
    178,191.97/245,904.91 = 106,572/x
  3. Step 3: Cross multiply
    178,191.97x = 245,904.91 × 106,572
  4. Step 4: Simplify right side
    178,191.97x = 26,206,578,068.52
  5. Step 5: Solve for x
    x = 26,206,578,068.52/178,191.97
  6. Step 6: Final answer
    x = 147,069.35

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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.