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Finding the Fourth Proportional to 231,702.08, 319,831.20 and 141,016.64

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Solution

The fourth proportional to 231,702.08, 319,831.20 and 141,016.64 is: 194,653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,702.08 : 319,831.20 = 141,016.64 : x
  2. Step 2: Convert to fraction form
    231,702.08/319,831.20 = 141,016.64/x
  3. Step 3: Cross multiply
    231,702.08x = 319,831.20 × 141,016.64
  4. Step 4: Simplify right side
    231,702.08x = 45,101,521,191.17
  5. Step 5: Solve for x
    x = 45,101,521,191.17/231,702.08
  6. Step 6: Final answer
    x = 194,653.07

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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.