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Finding the Fourth Proportional to 103,284, 142,509.96 and 60,827.04

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Solution

The fourth proportional to 103,284, 142,509.96 and 60,827.04 is: 83,928.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,284 : 142,509.96 = 60,827.04 : x
  2. Step 2: Convert to fraction form
    103,284/142,509.96 = 60,827.04/x
  3. Step 3: Cross multiply
    103,284x = 142,509.96 × 60,827.04
  4. Step 4: Simplify right side
    103,284x = 8,668,459,037.32
  5. Step 5: Solve for x
    x = 8,668,459,037.32/103,284
  6. Step 6: Final answer
    x = 83,928.38

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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.