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Finding the Fourth Proportional to 249,265.68, 343,724.76 and 164,274

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Solution

The fourth proportional to 249,265.68, 343,724.76 and 164,274 is: 226,525.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,265.68 : 343,724.76 = 164,274 : x
  2. Step 2: Convert to fraction form
    249,265.68/343,724.76 = 164,274/x
  3. Step 3: Cross multiply
    249,265.68x = 343,724.76 × 164,274
  4. Step 4: Simplify right side
    249,265.68x = 56,465,041,224.24
  5. Step 5: Solve for x
    x = 56,465,041,224.24/249,265.68
  6. Step 6: Final answer
    x = 226,525.53

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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.