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Finding the Fourth Proportional to 152,675.71, 229,029.30 and 52,835.76

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Solution

The fourth proportional to 152,675.71, 229,029.30 and 52,835.76 is: 79,259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,675.71 : 229,029.30 = 52,835.76 : x
  2. Step 2: Convert to fraction form
    152,675.71/229,029.30 = 52,835.76/x
  3. Step 3: Cross multiply
    152,675.71x = 229,029.30 × 52,835.76
  4. Step 4: Simplify right side
    152,675.71x = 12,100,937,127.77
  5. Step 5: Solve for x
    x = 12,100,937,127.77/152,675.71
  6. Step 6: Final answer
    x = 79,259.09

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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.