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Finding the Fourth Proportional to 165,282.84, 228,089.24 and 89,831.34

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Solution

The fourth proportional to 165,282.84, 228,089.24 and 89,831.34 is: 123,966.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,282.84 : 228,089.24 = 89,831.34 : x
  2. Step 2: Convert to fraction form
    165,282.84/228,089.24 = 89,831.34/x
  3. Step 3: Cross multiply
    165,282.84x = 228,089.24 × 89,831.34
  4. Step 4: Simplify right side
    165,282.84x = 20,489,562,068.78
  5. Step 5: Solve for x
    x = 20,489,562,068.78/165,282.84
  6. Step 6: Final answer
    x = 123,966.66

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1.5x scale

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.