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Finding the Fourth Proportional to 194,794.60, 292,307.10 and 70,119.40

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Solution

The fourth proportional to 194,794.60, 292,307.10 and 70,119.40 is: 105,220.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,794.60 : 292,307.10 = 70,119.40 : x
  2. Step 2: Convert to fraction form
    194,794.60/292,307.10 = 70,119.40/x
  3. Step 3: Cross multiply
    194,794.60x = 292,307.10 × 70,119.40
  4. Step 4: Simplify right side
    194,794.60x = 20,496,398,467.74
  5. Step 5: Solve for x
    x = 20,496,398,467.74/194,794.60
  6. Step 6: Final answer
    x = 105,220.57

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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.