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Finding the Fourth Proportional to 191,143.49, 286,722.52 and 97,539.89

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Solution

The fourth proportional to 191,143.49, 286,722.52 and 97,539.89 is: 146,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,143.49 : 286,722.52 = 97,539.89 : x
  2. Step 2: Convert to fraction form
    191,143.49/286,722.52 = 97,539.89/x
  3. Step 3: Cross multiply
    191,143.49x = 286,722.52 × 97,539.89
  4. Step 4: Simplify right side
    191,143.49x = 27,966,881,383.86
  5. Step 5: Solve for x
    x = 27,966,881,383.86/191,143.49
  6. Step 6: Final answer
    x = 146,313.55

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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.