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Finding the Fourth Proportional to 249,218, 343,921.16 and 159,794

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Solution

The fourth proportional to 249,218, 343,921.16 and 159,794 is: 220,515.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,218 : 343,921.16 = 159,794 : x
  2. Step 2: Convert to fraction form
    249,218/343,921.16 = 159,794/x
  3. Step 3: Cross multiply
    249,218x = 343,921.16 × 159,794
  4. Step 4: Simplify right side
    249,218x = 54,956,537,841.04
  5. Step 5: Solve for x
    x = 54,956,537,841.04/249,218
  6. Step 6: Final answer
    x = 220,515.93

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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.