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Finding the Fourth Proportional to 276,058.77, 414,088.25 and 86,533.89

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Solution

The fourth proportional to 276,058.77, 414,088.25 and 86,533.89 is: 129,800.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,058.77 : 414,088.25 = 86,533.89 : x
  2. Step 2: Convert to fraction form
    276,058.77/414,088.25 = 86,533.89/x
  3. Step 3: Cross multiply
    276,058.77x = 414,088.25 × 86,533.89
  4. Step 4: Simplify right side
    276,058.77x = 35,832,666,643.12
  5. Step 5: Solve for x
    x = 35,832,666,643.12/276,058.77
  6. Step 6: Final answer
    x = 129,800.86

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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.