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Finding the Fourth Proportional to 186,038.75, 279,058.14 and 54,710.75

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Solution

The fourth proportional to 186,038.75, 279,058.14 and 54,710.75 is: 82,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,038.75 : 279,058.14 = 54,710.75 : x
  2. Step 2: Convert to fraction form
    186,038.75/279,058.14 = 54,710.75/x
  3. Step 3: Cross multiply
    186,038.75x = 279,058.14 × 54,710.75
  4. Step 4: Simplify right side
    186,038.75x = 15,267,480,133.01
  5. Step 5: Solve for x
    x = 15,267,480,133.01/186,038.75
  6. Step 6: Final answer
    x = 82,066.13

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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.