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Finding the Fourth Proportional to 302,069.52, 453,072.96 and 102,384.72

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Solution

The fourth proportional to 302,069.52, 453,072.96 and 102,384.72 is: 153,566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,069.52 : 453,072.96 = 102,384.72 : x
  2. Step 2: Convert to fraction form
    302,069.52/453,072.96 = 102,384.72/x
  3. Step 3: Cross multiply
    302,069.52x = 453,072.96 × 102,384.72
  4. Step 4: Simplify right side
    302,069.52x = 46,387,748,149.17
  5. Step 5: Solve for x
    x = 46,387,748,149.17/302,069.52
  6. Step 6: Final answer
    x = 153,566.46

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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.