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Finding the Fourth Proportional to 153,022.50, 229,546.98 and 42,214.50

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Solution

The fourth proportional to 153,022.50, 229,546.98 and 42,214.50 is: 63,325.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,022.50 : 229,546.98 = 42,214.50 : x
  2. Step 2: Convert to fraction form
    153,022.50/229,546.98 = 42,214.50/x
  3. Step 3: Cross multiply
    153,022.50x = 229,546.98 × 42,214.50
  4. Step 4: Simplify right side
    153,022.50x = 9,690,210,987.21
  5. Step 5: Solve for x
    x = 9,690,210,987.21/153,022.50
  6. Step 6: Final answer
    x = 63,325.40

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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.