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Finding the Fourth Proportional to 302,634.81, 453,689.24 and 152,750.25

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Solution

The fourth proportional to 302,634.81, 453,689.24 and 152,750.25 is: 228,992.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,634.81 : 453,689.24 = 152,750.25 : x
  2. Step 2: Convert to fraction form
    302,634.81/453,689.24 = 152,750.25/x
  3. Step 3: Cross multiply
    302,634.81x = 453,689.24 × 152,750.25
  4. Step 4: Simplify right side
    302,634.81x = 69,301,144,068.56
  5. Step 5: Solve for x
    x = 69,301,144,068.56/302,634.81
  6. Step 6: Final answer
    x = 228,992.64

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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.