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Finding the Fourth Proportional to 186,775.42, 257,749.76 and 101,892.50

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Solution

The fourth proportional to 186,775.42, 257,749.76 and 101,892.50 is: 140,611.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,775.42 : 257,749.76 = 101,892.50 : x
  2. Step 2: Convert to fraction form
    186,775.42/257,749.76 = 101,892.50/x
  3. Step 3: Cross multiply
    186,775.42x = 257,749.76 × 101,892.50
  4. Step 4: Simplify right side
    186,775.42x = 26,262,767,420.80
  5. Step 5: Solve for x
    x = 26,262,767,420.80/186,775.42
  6. Step 6: Final answer
    x = 140,611.48

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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.