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Finding the Fourth Proportional to 260,097.40, 390,146.10 and 194,001.40

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Solution

The fourth proportional to 260,097.40, 390,146.10 and 194,001.40 is: 291,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,097.40 : 390,146.10 = 194,001.40 : x
  2. Step 2: Convert to fraction form
    260,097.40/390,146.10 = 194,001.40/x
  3. Step 3: Cross multiply
    260,097.40x = 390,146.10 × 194,001.40
  4. Step 4: Simplify right side
    260,097.40x = 75,688,889,604.54
  5. Step 5: Solve for x
    x = 75,688,889,604.54/260,097.40
  6. Step 6: Final answer
    x = 291,002.10

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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.