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Finding the Fourth Proportional to 105,106.60, 157,659.90 and 49,810.60

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Solution

The fourth proportional to 105,106.60, 157,659.90 and 49,810.60 is: 74,715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,106.60 : 157,659.90 = 49,810.60 : x
  2. Step 2: Convert to fraction form
    105,106.60/157,659.90 = 49,810.60/x
  3. Step 3: Cross multiply
    105,106.60x = 157,659.90 × 49,810.60
  4. Step 4: Simplify right side
    105,106.60x = 7,853,134,214.94
  5. Step 5: Solve for x
    x = 7,853,134,214.94/105,106.60
  6. Step 6: Final answer
    x = 74,715.90

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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.