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Finding the Fourth Proportional to 105,364.64, 158,023.29 and 30,468.08

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Solution

The fourth proportional to 105,364.64, 158,023.29 and 30,468.08 is: 45,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,364.64 : 158,023.29 = 30,468.08 : x
  2. Step 2: Convert to fraction form
    105,364.64/158,023.29 = 30,468.08/x
  3. Step 3: Cross multiply
    105,364.64x = 158,023.29 × 30,468.08
  4. Step 4: Simplify right side
    105,364.64x = 4,814,666,241.58
  5. Step 5: Solve for x
    x = 4,814,666,241.58/105,364.64
  6. Step 6: Final answer
    x = 45,695.28

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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.