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Finding the Fourth Proportional to 183,866.28, 253,746.33 and 138,464.16

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Solution

The fourth proportional to 183,866.28, 253,746.33 and 138,464.16 is: 191,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,866.28 : 253,746.33 = 138,464.16 : x
  2. Step 2: Convert to fraction form
    183,866.28/253,746.33 = 138,464.16/x
  3. Step 3: Cross multiply
    183,866.28x = 253,746.33 × 138,464.16
  4. Step 4: Simplify right side
    183,866.28x = 35,134,772,436.53
  5. Step 5: Solve for x
    x = 35,134,772,436.53/183,866.28
  6. Step 6: Final answer
    x = 191,088.72

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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.