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Finding the Fourth Proportional to 140,466.48, 210,777.48 and 57,354

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Solution

The fourth proportional to 140,466.48, 210,777.48 and 57,354 is: 86,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,466.48 : 210,777.48 = 57,354 : x
  2. Step 2: Convert to fraction form
    140,466.48/210,777.48 = 57,354/x
  3. Step 3: Cross multiply
    140,466.48x = 210,777.48 × 57,354
  4. Step 4: Simplify right side
    140,466.48x = 12,088,931,587.92
  5. Step 5: Solve for x
    x = 12,088,931,587.92/140,466.48
  6. Step 6: Final answer
    x = 86,062.75

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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.