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Finding the Fourth Proportional to 223,703.52, 308,702.16 and 128,142.24

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Solution

The fourth proportional to 223,703.52, 308,702.16 and 128,142.24 is: 176,831.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,703.52 : 308,702.16 = 128,142.24 : x
  2. Step 2: Convert to fraction form
    223,703.52/308,702.16 = 128,142.24/x
  3. Step 3: Cross multiply
    223,703.52x = 308,702.16 × 128,142.24
  4. Step 4: Simplify right side
    223,703.52x = 39,557,786,275.24
  5. Step 5: Solve for x
    x = 39,557,786,275.24/223,703.52
  6. Step 6: Final answer
    x = 176,831.31

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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.