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Finding the Fourth Proportional to 194,973.20, 292,459.80 and 70,314.20

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Solution

The fourth proportional to 194,973.20, 292,459.80 and 70,314.20 is: 105,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,973.20 : 292,459.80 = 70,314.20 : x
  2. Step 2: Convert to fraction form
    194,973.20/292,459.80 = 70,314.20/x
  3. Step 3: Cross multiply
    194,973.20x = 292,459.80 × 70,314.20
  4. Step 4: Simplify right side
    194,973.20x = 20,564,075,406.86
  5. Step 5: Solve for x
    x = 20,564,075,406.86/194,973.20
  6. Step 6: Final answer
    x = 105,471.30

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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.