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Finding the Fourth Proportional to 153,156.36, 229,734.48 and 47,983.50

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Solution

The fourth proportional to 153,156.36, 229,734.48 and 47,983.50 is: 71,975.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,156.36 : 229,734.48 = 47,983.50 : x
  2. Step 2: Convert to fraction form
    153,156.36/229,734.48 = 47,983.50/x
  3. Step 3: Cross multiply
    153,156.36x = 229,734.48 × 47,983.50
  4. Step 4: Simplify right side
    153,156.36x = 11,023,464,421.08
  5. Step 5: Solve for x
    x = 11,023,464,421.08/153,156.36
  6. Step 6: Final answer
    x = 71,975.23

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