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Finding the Fourth Proportional to 162,347.58, 224,020.25 and 89,740.66

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Solution

The fourth proportional to 162,347.58, 224,020.25 and 89,740.66 is: 123,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,347.58 : 224,020.25 = 89,740.66 : x
  2. Step 2: Convert to fraction form
    162,347.58/224,020.25 = 89,740.66/x
  3. Step 3: Cross multiply
    162,347.58x = 224,020.25 × 89,740.66
  4. Step 4: Simplify right side
    162,347.58x = 20,103,724,303.96
  5. Step 5: Solve for x
    x = 20,103,724,303.96/162,347.58
  6. Step 6: Final answer
    x = 123,831.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.