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Finding the Fourth Proportional to 264,595.84, 365,147.94 and 149,875

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Solution

The fourth proportional to 264,595.84, 365,147.94 and 149,875 is: 206,830.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,595.84 : 365,147.94 = 149,875 : x
  2. Step 2: Convert to fraction form
    264,595.84/365,147.94 = 149,875/x
  3. Step 3: Cross multiply
    264,595.84x = 365,147.94 × 149,875
  4. Step 4: Simplify right side
    264,595.84x = 54,726,547,507.50
  5. Step 5: Solve for x
    x = 54,726,547,507.50/264,595.84
  6. Step 6: Final answer
    x = 206,830.72

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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.