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Finding the Fourth Proportional to 134,978.63, 202,468.95 and 46,233

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Solution

The fourth proportional to 134,978.63, 202,468.95 and 46,233 is: 69,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,978.63 : 202,468.95 = 46,233 : x
  2. Step 2: Convert to fraction form
    134,978.63/202,468.95 = 46,233/x
  3. Step 3: Cross multiply
    134,978.63x = 202,468.95 × 46,233
  4. Step 4: Simplify right side
    134,978.63x = 9,360,746,965.35
  5. Step 5: Solve for x
    x = 9,360,746,965.35/134,978.63
  6. Step 6: Final answer
    x = 69,349.85

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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.