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Finding the Fourth Proportional to 178,011.64, 245,656.02 and 97,439.32

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Solution

The fourth proportional to 178,011.64, 245,656.02 and 97,439.32 is: 134,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,011.64 : 245,656.02 = 97,439.32 : x
  2. Step 2: Convert to fraction form
    178,011.64/245,656.02 = 97,439.32/x
  3. Step 3: Cross multiply
    178,011.64x = 245,656.02 × 97,439.32
  4. Step 4: Simplify right side
    178,011.64x = 23,936,555,542.71
  5. Step 5: Solve for x
    x = 23,936,555,542.71/178,011.64
  6. Step 6: Final answer
    x = 134,466.24

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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.