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Finding the Fourth Proportional to 101,368.60, 152,085.30 and 34,851.40

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Solution

The fourth proportional to 101,368.60, 152,085.30 and 34,851.40 is: 52,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,368.60 : 152,085.30 = 34,851.40 : x
  2. Step 2: Convert to fraction form
    101,368.60/152,085.30 = 34,851.40/x
  3. Step 3: Cross multiply
    101,368.60x = 152,085.30 × 34,851.40
  4. Step 4: Simplify right side
    101,368.60x = 5,300,385,624.42
  5. Step 5: Solve for x
    x = 5,300,385,624.42/101,368.60
  6. Step 6: Final answer
    x = 52,288.24

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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.