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Finding the Fourth Proportional to 191,447.64, 264,193.18 and 106,562.88

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Solution

The fourth proportional to 191,447.64, 264,193.18 and 106,562.88 is: 147,054.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,447.64 : 264,193.18 = 106,562.88 : x
  2. Step 2: Convert to fraction form
    191,447.64/264,193.18 = 106,562.88/x
  3. Step 3: Cross multiply
    191,447.64x = 264,193.18 × 106,562.88
  4. Step 4: Simplify right side
    191,447.64x = 28,153,186,137.16
  5. Step 5: Solve for x
    x = 28,153,186,137.16/191,447.64
  6. Step 6: Final answer
    x = 147,054.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.