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Finding the Fourth Proportional to 185,345.30, 255,776.77 and 100,462.34

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Solution

The fourth proportional to 185,345.30, 255,776.77 and 100,462.34 is: 138,638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,345.30 : 255,776.77 = 100,462.34 : x
  2. Step 2: Convert to fraction form
    185,345.30/255,776.77 = 100,462.34/x
  3. Step 3: Cross multiply
    185,345.30x = 255,776.77 × 100,462.34
  4. Step 4: Simplify right side
    185,345.30x = 25,695,932,831.84
  5. Step 5: Solve for x
    x = 25,695,932,831.84/185,345.30
  6. Step 6: Final answer
    x = 138,638.17

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