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Finding the Fourth Proportional to 302,031.68, 452,764.58 and 102,212.18

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Solution

The fourth proportional to 302,031.68, 452,764.58 and 102,212.18 is: 153,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,031.68 : 452,764.58 = 102,212.18 : x
  2. Step 2: Convert to fraction form
    302,031.68/452,764.58 = 102,212.18/x
  3. Step 3: Cross multiply
    302,031.68x = 452,764.58 × 102,212.18
  4. Step 4: Simplify right side
    302,031.68x = 46,278,051,973.70
  5. Step 5: Solve for x
    x = 46,278,051,973.70/302,031.68
  6. Step 6: Final answer
    x = 153,222.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.