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Finding the Fourth Proportional to 223,133.32, 334,702.71 and 65,364.96

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Solution

The fourth proportional to 223,133.32, 334,702.71 and 65,364.96 is: 98,048.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,133.32 : 334,702.71 = 65,364.96 : x
  2. Step 2: Convert to fraction form
    223,133.32/334,702.71 = 65,364.96/x
  3. Step 3: Cross multiply
    223,133.32x = 334,702.71 × 65,364.96
  4. Step 4: Simplify right side
    223,133.32x = 21,877,829,251.04
  5. Step 5: Solve for x
    x = 21,877,829,251.04/223,133.32
  6. Step 6: Final answer
    x = 98,048.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.