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Finding the Fourth Proportional to 153,216.96, 229,825.44 and 48,044.40

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Solution

The fourth proportional to 153,216.96, 229,825.44 and 48,044.40 is: 72,066.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,216.96 : 229,825.44 = 48,044.40 : x
  2. Step 2: Convert to fraction form
    153,216.96/229,825.44 = 48,044.40/x
  3. Step 3: Cross multiply
    153,216.96x = 229,825.44 × 48,044.40
  4. Step 4: Simplify right side
    153,216.96x = 11,041,825,369.54
  5. Step 5: Solve for x
    x = 11,041,825,369.54/153,216.96
  6. Step 6: Final answer
    x = 72,066.60

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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.