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Finding the Fourth Proportional to 194,859.40, 292,289.10 and 76,491.40

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Solution

The fourth proportional to 194,859.40, 292,289.10 and 76,491.40 is: 114,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,859.40 : 292,289.10 = 76,491.40 : x
  2. Step 2: Convert to fraction form
    194,859.40/292,289.10 = 76,491.40/x
  3. Step 3: Cross multiply
    194,859.40x = 292,289.10 × 76,491.40
  4. Step 4: Simplify right side
    194,859.40x = 22,357,602,463.74
  5. Step 5: Solve for x
    x = 22,357,602,463.74/194,859.40
  6. Step 6: Final answer
    x = 114,737.10

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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.