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Finding the Fourth Proportional to 153,165.96, 229,748.76 and 47,993.13

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Solution

The fourth proportional to 153,165.96, 229,748.76 and 47,993.13 is: 71,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,165.96 : 229,748.76 = 47,993.13 : x
  2. Step 2: Convert to fraction form
    153,165.96/229,748.76 = 47,993.13/x
  3. Step 3: Cross multiply
    153,165.96x = 229,748.76 × 47,993.13
  4. Step 4: Simplify right side
    153,165.96x = 11,026,362,106.02
  5. Step 5: Solve for x
    x = 11,026,362,106.02/153,165.96
  6. Step 6: Final answer
    x = 71,989.64

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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.