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Finding the Fourth Proportional to 102,080.70, 153,055.44 and 48,743.82

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Solution

The fourth proportional to 102,080.70, 153,055.44 and 48,743.82 is: 73,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,080.70 : 153,055.44 = 48,743.82 : x
  2. Step 2: Convert to fraction form
    102,080.70/153,055.44 = 48,743.82/x
  3. Step 3: Cross multiply
    102,080.70x = 153,055.44 × 48,743.82
  4. Step 4: Simplify right side
    102,080.70x = 7,460,506,817.38
  5. Step 5: Solve for x
    x = 7,460,506,817.38/102,080.70
  6. Step 6: Final answer
    x = 73,084.40

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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.