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Finding the Fourth Proportional to 165,084.76, 227,813.10 and 97,088.44

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Solution

The fourth proportional to 165,084.76, 227,813.10 and 97,088.44 is: 133,979.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,084.76 : 227,813.10 = 97,088.44 : x
  2. Step 2: Convert to fraction form
    165,084.76/227,813.10 = 97,088.44/x
  3. Step 3: Cross multiply
    165,084.76x = 227,813.10 × 97,088.44
  4. Step 4: Simplify right side
    165,084.76x = 22,118,018,490.56
  5. Step 5: Solve for x
    x = 22,118,018,490.56/165,084.76
  6. Step 6: Final answer
    x = 133,979.77

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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.