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Finding the Fourth Proportional to 191,082.98, 286,665.70 and 57,973.96

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Solution

The fourth proportional to 191,082.98, 286,665.70 and 57,973.96 is: 86,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,082.98 : 286,665.70 = 57,973.96 : x
  2. Step 2: Convert to fraction form
    191,082.98/286,665.70 = 57,973.96/x
  3. Step 3: Cross multiply
    191,082.98x = 286,665.70 × 57,973.96
  4. Step 4: Simplify right side
    191,082.98x = 16,619,145,825.17
  5. Step 5: Solve for x
    x = 16,619,145,825.17/191,082.98
  6. Step 6: Final answer
    x = 86,973.45

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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.