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Finding the Fourth Proportional to 185,466.51, 278,174.55 and 52,357.49

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Solution

The fourth proportional to 185,466.51, 278,174.55 and 52,357.49 is: 78,529.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,466.51 : 278,174.55 = 52,357.49 : x
  2. Step 2: Convert to fraction form
    185,466.51/278,174.55 = 52,357.49/x
  3. Step 3: Cross multiply
    185,466.51x = 278,174.55 × 52,357.49
  4. Step 4: Simplify right side
    185,466.51x = 14,564,521,068.50
  5. Step 5: Solve for x
    x = 14,564,521,068.50/185,466.51
  6. Step 6: Final answer
    x = 78,529.12

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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.