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Finding the Fourth Proportional to 186,405.24, 257,242.16 and 101,522.24

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Solution

The fourth proportional to 186,405.24, 257,242.16 and 101,522.24 is: 140,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,405.24 : 257,242.16 = 101,522.24 : x
  2. Step 2: Convert to fraction form
    186,405.24/257,242.16 = 101,522.24/x
  3. Step 3: Cross multiply
    186,405.24x = 257,242.16 × 101,522.24
  4. Step 4: Simplify right side
    186,405.24x = 26,115,800,305.64
  5. Step 5: Solve for x
    x = 26,115,800,305.64/186,405.24
  6. Step 6: Final answer
    x = 140,102.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.