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Finding the Fourth Proportional to 102,005.80, 153,008.70 and 101,314.60

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Solution

The fourth proportional to 102,005.80, 153,008.70 and 101,314.60 is: 151,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,005.80 : 153,008.70 = 101,314.60 : x
  2. Step 2: Convert to fraction form
    102,005.80/153,008.70 = 101,314.60/x
  3. Step 3: Cross multiply
    102,005.80x = 153,008.70 × 101,314.60
  4. Step 4: Simplify right side
    102,005.80x = 15,502,015,237.02
  5. Step 5: Solve for x
    x = 15,502,015,237.02/102,005.80
  6. Step 6: Final answer
    x = 151,971.90

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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.