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Finding the Fourth Proportional to 188,484.32, 260,083.20 and 116,838.20

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Solution

The fourth proportional to 188,484.32, 260,083.20 and 116,838.20 is: 161,221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,484.32 : 260,083.20 = 116,838.20 : x
  2. Step 2: Convert to fraction form
    188,484.32/260,083.20 = 116,838.20/x
  3. Step 3: Cross multiply
    188,484.32x = 260,083.20 × 116,838.20
  4. Step 4: Simplify right side
    188,484.32x = 30,387,652,938.24
  5. Step 5: Solve for x
    x = 30,387,652,938.24/188,484.32
  6. Step 6: Final answer
    x = 161,221.12

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1.5x scale

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.