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Finding the Fourth Proportional to 223,152.94, 334,729.32 and 65,381.32

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Solution

The fourth proportional to 223,152.94, 334,729.32 and 65,381.32 is: 98,071.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,152.94 : 334,729.32 = 65,381.32 : x
  2. Step 2: Convert to fraction form
    223,152.94/334,729.32 = 65,381.32/x
  3. Step 3: Cross multiply
    223,152.94x = 334,729.32 × 65,381.32
  4. Step 4: Simplify right side
    223,152.94x = 21,885,044,784.30
  5. Step 5: Solve for x
    x = 21,885,044,784.30/223,152.94
  6. Step 6: Final answer
    x = 98,071.95

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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.