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Finding the Fourth Proportional to 186,507.76, 279,844.34 and 97,740.16

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Solution

The fourth proportional to 186,507.76, 279,844.34 and 97,740.16 is: 146,653.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,507.76 : 279,844.34 = 97,740.16 : x
  2. Step 2: Convert to fraction form
    186,507.76/279,844.34 = 97,740.16/x
  3. Step 3: Cross multiply
    186,507.76x = 279,844.34 × 97,740.16
  4. Step 4: Simplify right side
    186,507.76x = 27,352,030,566.69
  5. Step 5: Solve for x
    x = 27,352,030,566.69/186,507.76
  6. Step 6: Final answer
    x = 146,653.58

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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.