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Finding the Fourth Proportional to 249,888, 374,832.36 and 102,144

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Solution

The fourth proportional to 249,888, 374,832.36 and 102,144 is: 153,216.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,888 : 374,832.36 = 102,144 : x
  2. Step 2: Convert to fraction form
    249,888/374,832.36 = 102,144/x
  3. Step 3: Cross multiply
    249,888x = 374,832.36 × 102,144
  4. Step 4: Simplify right side
    249,888x = 38,286,876,579.84
  5. Step 5: Solve for x
    x = 38,286,876,579.84/249,888
  6. Step 6: Final answer
    x = 153,216.15

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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.