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Finding the Fourth Proportional to 249,106, 343,921.80 and 159,837.52

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Solution

The fourth proportional to 249,106, 343,921.80 and 159,837.52 is: 220,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,106 : 343,921.80 = 159,837.52 : x
  2. Step 2: Convert to fraction form
    249,106/343,921.80 = 159,837.52/x
  3. Step 3: Cross multiply
    249,106x = 343,921.80 × 159,837.52
  4. Step 4: Simplify right side
    249,106x = 54,971,607,585.94
  5. Step 5: Solve for x
    x = 54,971,607,585.94/249,106
  6. Step 6: Final answer
    x = 220,675.57

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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.