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Finding the Fourth Proportional to 153,165.80, 229,230.30 and 134,503.40

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Solution

The fourth proportional to 153,165.80, 229,230.30 and 134,503.40 is: 201,299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,165.80 : 229,230.30 = 134,503.40 : x
  2. Step 2: Convert to fraction form
    153,165.80/229,230.30 = 134,503.40/x
  3. Step 3: Cross multiply
    153,165.80x = 229,230.30 × 134,503.40
  4. Step 4: Simplify right side
    153,165.80x = 30,832,254,733.02
  5. Step 5: Solve for x
    x = 30,832,254,733.02/153,165.80
  6. Step 6: Final answer
    x = 201,299.86

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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.