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Finding the Fourth Proportional to 186,849.76, 257,482.96 and 132,984

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Solution

The fourth proportional to 186,849.76, 257,482.96 and 132,984 is: 183,254.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,849.76 : 257,482.96 = 132,984 : x
  2. Step 2: Convert to fraction form
    186,849.76/257,482.96 = 132,984/x
  3. Step 3: Cross multiply
    186,849.76x = 257,482.96 × 132,984
  4. Step 4: Simplify right side
    186,849.76x = 34,241,113,952.64
  5. Step 5: Solve for x
    x = 34,241,113,952.64/186,849.76
  6. Step 6: Final answer
    x = 183,254.79

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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.