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Finding the Fourth Proportional to 305,703.54, 458,547.63 and 106,166.90

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Solution

The fourth proportional to 305,703.54, 458,547.63 and 106,166.90 is: 159,247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,703.54 : 458,547.63 = 106,166.90 : x
  2. Step 2: Convert to fraction form
    305,703.54/458,547.63 = 106,166.90/x
  3. Step 3: Cross multiply
    305,703.54x = 458,547.63 × 106,166.90
  4. Step 4: Simplify right side
    305,703.54x = 48,682,580,379.45
  5. Step 5: Solve for x
    x = 48,682,580,379.45/305,703.54
  6. Step 6: Final answer
    x = 159,247.68

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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.