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Finding the Fourth Proportional to 164,641.83, 246,934.04 and 46,285.03

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Solution

The fourth proportional to 164,641.83, 246,934.04 and 46,285.03 is: 69,419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,641.83 : 246,934.04 = 46,285.03 : x
  2. Step 2: Convert to fraction form
    164,641.83/246,934.04 = 46,285.03/x
  3. Step 3: Cross multiply
    164,641.83x = 246,934.04 × 46,285.03
  4. Step 4: Simplify right side
    164,641.83x = 11,429,349,526.66
  5. Step 5: Solve for x
    x = 11,429,349,526.66/164,641.83
  6. Step 6: Final answer
    x = 69,419.48

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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.