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Finding the Fourth Proportional to 186,844.64, 257,851.08 and 101,967.16

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Solution

The fourth proportional to 186,844.64, 257,851.08 and 101,967.16 is: 140,717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,844.64 : 257,851.08 = 101,967.16 : x
  2. Step 2: Convert to fraction form
    186,844.64/257,851.08 = 101,967.16/x
  3. Step 3: Cross multiply
    186,844.64x = 257,851.08 × 101,967.16
  4. Step 4: Simplify right side
    186,844.64x = 26,292,342,330.53
  5. Step 5: Solve for x
    x = 26,292,342,330.53/186,844.64
  6. Step 6: Final answer
    x = 140,717.67

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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.