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Finding the Fourth Proportional to 302,039.68, 452,776.58 and 102,220.17

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Solution

The fourth proportional to 302,039.68, 452,776.58 and 102,220.17 is: 153,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,039.68 : 452,776.58 = 102,220.17 : x
  2. Step 2: Convert to fraction form
    302,039.68/452,776.58 = 102,220.17/x
  3. Step 3: Cross multiply
    302,039.68x = 452,776.58 × 102,220.17
  4. Step 4: Simplify right side
    302,039.68x = 46,282,898,468.52
  5. Step 5: Solve for x
    x = 46,282,898,468.52/302,039.68
  6. Step 6: Final answer
    x = 153,234.50

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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.