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Finding the Fourth Proportional to 205,689.40, 308,534.10 and 194,025.40

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Solution

The fourth proportional to 205,689.40, 308,534.10 and 194,025.40 is: 291,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,689.40 : 308,534.10 = 194,025.40 : x
  2. Step 2: Convert to fraction form
    205,689.40/308,534.10 = 194,025.40/x
  3. Step 3: Cross multiply
    205,689.40x = 308,534.10 × 194,025.40
  4. Step 4: Simplify right side
    205,689.40x = 59,863,452,166.14
  5. Step 5: Solve for x
    x = 59,863,452,166.14/205,689.40
  6. Step 6: Final answer
    x = 291,038.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.