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Finding the Fourth Proportional to 231,097.84, 346,577.88 and 97,975.96

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Solution

The fourth proportional to 231,097.84, 346,577.88 and 97,975.96 is: 146,934.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,097.84 : 346,577.88 = 97,975.96 : x
  2. Step 2: Convert to fraction form
    231,097.84/346,577.88 = 97,975.96/x
  3. Step 3: Cross multiply
    231,097.84x = 346,577.88 × 97,975.96
  4. Step 4: Simplify right side
    231,097.84x = 33,956,300,507.76
  5. Step 5: Solve for x
    x = 33,956,300,507.76/231,097.84
  6. Step 6: Final answer
    x = 146,934.74

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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.