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Finding the Fourth Proportional to 112,497.80, 168,746.70 and 97,464.20

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Solution

The fourth proportional to 112,497.80, 168,746.70 and 97,464.20 is: 146,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,497.80 : 168,746.70 = 97,464.20 : x
  2. Step 2: Convert to fraction form
    112,497.80/168,746.70 = 97,464.20/x
  3. Step 3: Cross multiply
    112,497.80x = 168,746.70 × 97,464.20
  4. Step 4: Simplify right side
    112,497.80x = 16,446,762,118.14
  5. Step 5: Solve for x
    x = 16,446,762,118.14/112,497.80
  6. Step 6: Final answer
    x = 146,196.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.