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Finding the Fourth Proportional to 245,301.48, 338,419.92 and 180,925.25

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Solution

The fourth proportional to 245,301.48, 338,419.92 and 180,925.25 is: 249,605.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,301.48 : 338,419.92 = 180,925.25 : x
  2. Step 2: Convert to fraction form
    245,301.48/338,419.92 = 180,925.25/x
  3. Step 3: Cross multiply
    245,301.48x = 338,419.92 × 180,925.25
  4. Step 4: Simplify right side
    245,301.48x = 61,228,707,617.35
  5. Step 5: Solve for x
    x = 61,228,707,617.35/245,301.48
  6. Step 6: Final answer
    x = 249,605.94

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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.