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Finding the Fourth Proportional to 276,853.16, 413,762.49 and 202,130.66

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Solution

The fourth proportional to 276,853.16, 413,762.49 and 202,130.66 is: 302,088.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,853.16 : 413,762.49 = 202,130.66 : x
  2. Step 2: Convert to fraction form
    276,853.16/413,762.49 = 202,130.66/x
  3. Step 3: Cross multiply
    276,853.16x = 413,762.49 × 202,130.66
  4. Step 4: Simplify right side
    276,853.16x = 83,634,086,221.35
  5. Step 5: Solve for x
    x = 83,634,086,221.35/276,853.16
  6. Step 6: Final answer
    x = 302,088.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.