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Finding the Fourth Proportional to 145,314.30, 217,809.45 and 56,538.30

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Solution

The fourth proportional to 145,314.30, 217,809.45 and 56,538.30 is: 84,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,314.30 : 217,809.45 = 56,538.30 : x
  2. Step 2: Convert to fraction form
    145,314.30/217,809.45 = 56,538.30/x
  3. Step 3: Cross multiply
    145,314.30x = 217,809.45 × 56,538.30
  4. Step 4: Simplify right side
    145,314.30x = 12,314,576,026.94
  5. Step 5: Solve for x
    x = 12,314,576,026.94/145,314.30
  6. Step 6: Final answer
    x = 84,744.42

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1.5x scale

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.