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Finding the Fourth Proportional to 257,610.16, 386,526.48 and 139,364.80

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Solution

The fourth proportional to 257,610.16, 386,526.48 and 139,364.80 is: 209,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,610.16 : 386,526.48 = 139,364.80 : x
  2. Step 2: Convert to fraction form
    257,610.16/386,526.48 = 139,364.80/x
  3. Step 3: Cross multiply
    257,610.16x = 386,526.48 × 139,364.80
  4. Step 4: Simplify right side
    257,610.16x = 53,868,185,579.90
  5. Step 5: Solve for x
    x = 53,868,185,579.90/257,610.16
  6. Step 6: Final answer
    x = 209,107.38

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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.