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Finding the Fourth Proportional to 207,344.06, 311,016.10 and 102,368.06

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Solution

The fourth proportional to 207,344.06, 311,016.10 and 102,368.06 is: 153,552.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,344.06 : 311,016.10 = 102,368.06 : x
  2. Step 2: Convert to fraction form
    207,344.06/311,016.10 = 102,368.06/x
  3. Step 3: Cross multiply
    207,344.06x = 311,016.10 × 102,368.06
  4. Step 4: Simplify right side
    207,344.06x = 31,838,114,785.77
  5. Step 5: Solve for x
    x = 31,838,114,785.77/207,344.06
  6. Step 6: Final answer
    x = 153,552.09

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1.5x scale

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.