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Finding the Fourth Proportional to 191,516.64, 264,288.32 and 106,631.84

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Solution

The fourth proportional to 191,516.64, 264,288.32 and 106,631.84 is: 147,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,516.64 : 264,288.32 = 106,631.84 : x
  2. Step 2: Convert to fraction form
    191,516.64/264,288.32 = 106,631.84/x
  3. Step 3: Cross multiply
    191,516.64x = 264,288.32 × 106,631.84
  4. Step 4: Simplify right side
    191,516.64x = 28,181,549,852.11
  5. Step 5: Solve for x
    x = 28,181,549,852.11/191,516.64
  6. Step 6: Final answer
    x = 147,149.35

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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.