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Finding the Fourth Proportional to 194,643.60, 291,763.80 and 105,709.20

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Solution

The fourth proportional to 194,643.60, 291,763.80 and 105,709.20 is: 158,454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,643.60 : 291,763.80 = 105,709.20 : x
  2. Step 2: Convert to fraction form
    194,643.60/291,763.80 = 105,709.20/x
  3. Step 3: Cross multiply
    194,643.60x = 291,763.80 × 105,709.20
  4. Step 4: Simplify right side
    194,643.60x = 30,842,117,886.96
  5. Step 5: Solve for x
    x = 30,842,117,886.96/194,643.60
  6. Step 6: Final answer
    x = 158,454.31

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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.