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Finding the Fourth Proportional to 160,653.50, 240,978.38 and 65,862.50

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Solution

The fourth proportional to 160,653.50, 240,978.38 and 65,862.50 is: 98,792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,653.50 : 240,978.38 = 65,862.50 : x
  2. Step 2: Convert to fraction form
    160,653.50/240,978.38 = 65,862.50/x
  3. Step 3: Cross multiply
    160,653.50x = 240,978.38 × 65,862.50
  4. Step 4: Simplify right side
    160,653.50x = 15,871,438,552.75
  5. Step 5: Solve for x
    x = 15,871,438,552.75/160,653.50
  6. Step 6: Final answer
    x = 98,792.98

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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.