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Finding the Fourth Proportional to 249,170.64, 343,894.86 and 158,432.01

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Solution

The fourth proportional to 249,170.64, 343,894.86 and 158,432.01 is: 218,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,170.64 : 343,894.86 = 158,432.01 : x
  2. Step 2: Convert to fraction form
    249,170.64/343,894.86 = 158,432.01/x
  3. Step 3: Cross multiply
    249,170.64x = 343,894.86 × 158,432.01
  4. Step 4: Simplify right side
    249,170.64x = 54,483,953,898.47
  5. Step 5: Solve for x
    x = 54,483,953,898.47/249,170.64
  6. Step 6: Final answer
    x = 218,661.21

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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.