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Finding the Fourth Proportional to 164,569.60, 227,106.88 and 89,118.40

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Solution

The fourth proportional to 164,569.60, 227,106.88 and 89,118.40 is: 122,983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,569.60 : 227,106.88 = 89,118.40 : x
  2. Step 2: Convert to fraction form
    164,569.60/227,106.88 = 89,118.40/x
  3. Step 3: Cross multiply
    164,569.60x = 227,106.88 × 89,118.40
  4. Step 4: Simplify right side
    164,569.60x = 20,239,401,774.59
  5. Step 5: Solve for x
    x = 20,239,401,774.59/164,569.60
  6. Step 6: Final answer
    x = 122,983.84

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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.