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Finding the Fourth Proportional to 191,312.16, 264,081.84 and 164,346.40

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Solution

The fourth proportional to 191,312.16, 264,081.84 and 164,346.40 is: 226,859.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,312.16 : 264,081.84 = 164,346.40 : x
  2. Step 2: Convert to fraction form
    191,312.16/264,081.84 = 164,346.40/x
  3. Step 3: Cross multiply
    191,312.16x = 264,081.84 × 164,346.40
  4. Step 4: Simplify right side
    191,312.16x = 43,400,899,709.38
  5. Step 5: Solve for x
    x = 43,400,899,709.38/191,312.16
  6. Step 6: Final answer
    x = 226,859.08

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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.