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Finding the Fourth Proportional to 233,746.88, 350,678.63 and 67,534.88

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Solution

The fourth proportional to 233,746.88, 350,678.63 and 67,534.88 is: 101,319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,746.88 : 350,678.63 = 67,534.88 : x
  2. Step 2: Convert to fraction form
    233,746.88/350,678.63 = 67,534.88/x
  3. Step 3: Cross multiply
    233,746.88x = 350,678.63 × 67,534.88
  4. Step 4: Simplify right side
    233,746.88x = 23,683,037,611.06
  5. Step 5: Solve for x
    x = 23,683,037,611.06/233,746.88
  6. Step 6: Final answer
    x = 101,319.16

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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.