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Finding the Fourth Proportional to 178,209.08, 245,928.40 and 97,641.64

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Solution

The fourth proportional to 178,209.08, 245,928.40 and 97,641.64 is: 134,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,209.08 : 245,928.40 = 97,641.64 : x
  2. Step 2: Convert to fraction form
    178,209.08/245,928.40 = 97,641.64/x
  3. Step 3: Cross multiply
    178,209.08x = 245,928.40 × 97,641.64
  4. Step 4: Simplify right side
    178,209.08x = 24,012,852,298.58
  5. Step 5: Solve for x
    x = 24,012,852,298.58/178,209.08
  6. Step 6: Final answer
    x = 134,745.39

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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.