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Finding the Fourth Proportional to 223,062.54, 307,827.14 and 121,088.20

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Solution

The fourth proportional to 223,062.54, 307,827.14 and 121,088.20 is: 167,102.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,062.54 : 307,827.14 = 121,088.20 : x
  2. Step 2: Convert to fraction form
    223,062.54/307,827.14 = 121,088.20/x
  3. Step 3: Cross multiply
    223,062.54x = 307,827.14 × 121,088.20
  4. Step 4: Simplify right side
    223,062.54x = 37,274,234,293.75
  5. Step 5: Solve for x
    x = 37,274,234,293.75/223,062.54
  6. Step 6: Final answer
    x = 167,102.17

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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.