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Finding the Fourth Proportional to 145,026, 217,539 and 51,535.44

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Solution

The fourth proportional to 145,026, 217,539 and 51,535.44 is: 77,303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,026 : 217,539 = 51,535.44 : x
  2. Step 2: Convert to fraction form
    145,026/217,539 = 51,535.44/x
  3. Step 3: Cross multiply
    145,026x = 217,539 × 51,535.44
  4. Step 4: Simplify right side
    145,026x = 11,210,968,082.16
  5. Step 5: Solve for x
    x = 11,210,968,082.16/145,026
  6. Step 6: Final answer
    x = 77,303.16

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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.