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Finding the Fourth Proportional to 178,209.80, 245,928.84 and 97,642.36

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Solution

The fourth proportional to 178,209.80, 245,928.84 and 97,642.36 is: 134,746.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,209.80 : 245,928.84 = 97,642.36 : x
  2. Step 2: Convert to fraction form
    178,209.80/245,928.84 = 97,642.36/x
  3. Step 3: Cross multiply
    178,209.80x = 245,928.84 × 97,642.36
  4. Step 4: Simplify right side
    178,209.80x = 24,013,072,329.66
  5. Step 5: Solve for x
    x = 24,013,072,329.66/178,209.80
  6. Step 6: Final answer
    x = 134,746.08

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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.