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Finding the Fourth Proportional to 114,009.32, 157,323.06 and 65,594.61

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Solution

The fourth proportional to 114,009.32, 157,323.06 and 65,594.61 is: 90,514.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,009.32 : 157,323.06 = 65,594.61 : x
  2. Step 2: Convert to fraction form
    114,009.32/157,323.06 = 65,594.61/x
  3. Step 3: Cross multiply
    114,009.32x = 157,323.06 × 65,594.61
  4. Step 4: Simplify right side
    114,009.32x = 10,319,544,764.71
  5. Step 5: Solve for x
    x = 10,319,544,764.71/114,009.32
  6. Step 6: Final answer
    x = 90,514.92

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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.