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Finding the Fourth Proportional to 514,038.34, 771,058.73 and 140,061.34

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Solution

The fourth proportional to 514,038.34, 771,058.73 and 140,061.34 is: 210,092.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,038.34 : 771,058.73 = 140,061.34 : x
  2. Step 2: Convert to fraction form
    514,038.34/771,058.73 = 140,061.34/x
  3. Step 3: Cross multiply
    514,038.34x = 771,058.73 × 140,061.34
  4. Step 4: Simplify right side
    514,038.34x = 107,995,518,942.50
  5. Step 5: Solve for x
    x = 107,995,518,942.50/514,038.34
  6. Step 6: Final answer
    x = 210,092.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.