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Finding the Fourth Proportional to 185,646.84, 278,434.96 and 52,495

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Solution

The fourth proportional to 185,646.84, 278,434.96 and 52,495 is: 78,732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,646.84 : 278,434.96 = 52,495 : x
  2. Step 2: Convert to fraction form
    185,646.84/278,434.96 = 52,495/x
  3. Step 3: Cross multiply
    185,646.84x = 278,434.96 × 52,495
  4. Step 4: Simplify right side
    185,646.84x = 14,616,443,225.20
  5. Step 5: Solve for x
    x = 14,616,443,225.20/185,646.84
  6. Step 6: Final answer
    x = 78,732.52

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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.