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Finding the Fourth Proportional to 520,085.20, 780,127.80 and 146,111.44

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Solution

The fourth proportional to 520,085.20, 780,127.80 and 146,111.44 is: 219,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,085.20 : 780,127.80 = 146,111.44 : x
  2. Step 2: Convert to fraction form
    520,085.20/780,127.80 = 146,111.44/x
  3. Step 3: Cross multiply
    520,085.20x = 780,127.80 × 146,111.44
  4. Step 4: Simplify right side
    520,085.20x = 113,985,596,242.03
  5. Step 5: Solve for x
    x = 113,985,596,242.03/520,085.20
  6. Step 6: Final answer
    x = 219,167.16

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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.