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Finding the Fourth Proportional to 164,492.80, 247,257.60 and 152,051.20

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Solution

The fourth proportional to 164,492.80, 247,257.60 and 152,051.20 is: 228,555.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,492.80 : 247,257.60 = 152,051.20 : x
  2. Step 2: Convert to fraction form
    164,492.80/247,257.60 = 152,051.20/x
  3. Step 3: Cross multiply
    164,492.80x = 247,257.60 × 152,051.20
  4. Step 4: Simplify right side
    164,492.80x = 37,595,814,789.12
  5. Step 5: Solve for x
    x = 37,595,814,789.12/164,492.80
  6. Step 6: Final answer
    x = 228,555.99

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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.