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Finding the Fourth Proportional to 302,751.50, 417,797.08 and 168,615.50

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Solution

The fourth proportional to 302,751.50, 417,797.08 and 168,615.50 is: 232,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,751.50 : 417,797.08 = 168,615.50 : x
  2. Step 2: Convert to fraction form
    302,751.50/417,797.08 = 168,615.50/x
  3. Step 3: Cross multiply
    302,751.50x = 417,797.08 × 168,615.50
  4. Step 4: Simplify right side
    302,751.50x = 70,447,063,542.74
  5. Step 5: Solve for x
    x = 70,447,063,542.74/302,751.50
  6. Step 6: Final answer
    x = 232,689.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.