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Finding the Fourth Proportional to 153,130.67, 229,462.11 and 64,335.63

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Solution

The fourth proportional to 153,130.67, 229,462.11 and 64,335.63 is: 96,405.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,130.67 : 229,462.11 = 64,335.63 : x
  2. Step 2: Convert to fraction form
    153,130.67/229,462.11 = 64,335.63/x
  3. Step 3: Cross multiply
    153,130.67x = 229,462.11 × 64,335.63
  4. Step 4: Simplify right side
    153,130.67x = 14,762,589,407.98
  5. Step 5: Solve for x
    x = 14,762,589,407.98/153,130.67
  6. Step 6: Final answer
    x = 96,405.18

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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.