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Finding the Fourth Proportional to 257,328.40, 355,113.12 and 141,041.20

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Solution

The fourth proportional to 257,328.40, 355,113.12 and 141,041.20 is: 194,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,328.40 : 355,113.12 = 141,041.20 : x
  2. Step 2: Convert to fraction form
    257,328.40/355,113.12 = 141,041.20/x
  3. Step 3: Cross multiply
    257,328.40x = 355,113.12 × 141,041.20
  4. Step 4: Simplify right side
    257,328.40x = 50,085,580,580.54
  5. Step 5: Solve for x
    x = 50,085,580,580.54/257,328.40
  6. Step 6: Final answer
    x = 194,636.82

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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.