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Finding the Fourth Proportional to 102,014.60, 142,968.07 and 102,014.60

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Solution

The fourth proportional to 102,014.60, 142,968.07 and 102,014.60 is: 142,968.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,014.60 : 142,968.07 = 102,014.60 : x
  2. Step 2: Convert to fraction form
    102,014.60/142,968.07 = 102,014.60/x
  3. Step 3: Cross multiply
    102,014.60x = 142,968.07 × 102,014.60
  4. Step 4: Simplify right side
    102,014.60x = 14,584,829,963.75
  5. Step 5: Solve for x
    x = 14,584,829,963.75/102,014.60
  6. Step 6: Final answer
    x = 142,968.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.