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Finding the Fourth Proportional to 257,256.78, 354,837.18 and 180,937.77

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Solution

The fourth proportional to 257,256.78, 354,837.18 and 180,937.77 is: 249,569.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,256.78 : 354,837.18 = 180,937.77 : x
  2. Step 2: Convert to fraction form
    257,256.78/354,837.18 = 180,937.77/x
  3. Step 3: Cross multiply
    257,256.78x = 354,837.18 × 180,937.77
  4. Step 4: Simplify right side
    257,256.78x = 64,203,448,062.29
  5. Step 5: Solve for x
    x = 64,203,448,062.29/257,256.78
  6. Step 6: Final answer
    x = 249,569.51

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1.5x scale

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.