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Finding the Fourth Proportional to 153,295.34, 229,859.62 and 53,428.73

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Solution

The fourth proportional to 153,295.34, 229,859.62 and 53,428.73 is: 80,114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,295.34 : 229,859.62 = 53,428.73 : x
  2. Step 2: Convert to fraction form
    153,295.34/229,859.62 = 53,428.73/x
  3. Step 3: Cross multiply
    153,295.34x = 229,859.62 × 53,428.73
  4. Step 4: Simplify right side
    153,295.34x = 12,281,106,292.01
  5. Step 5: Solve for x
    x = 12,281,106,292.01/153,295.34
  6. Step 6: Final answer
    x = 80,114.02

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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.