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Finding the Fourth Proportional to 183,775.40, 257,548 and 183,775.40

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Solution

The fourth proportional to 183,775.40, 257,548 and 183,775.40 is: 257,548

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,775.40 : 257,548 = 183,775.40 : x
  2. Step 2: Convert to fraction form
    183,775.40/257,548 = 183,775.40/x
  3. Step 3: Cross multiply
    183,775.40x = 257,548 × 183,775.40
  4. Step 4: Simplify right side
    183,775.40x = 47,330,986,719.20
  5. Step 5: Solve for x
    x = 47,330,986,719.20/183,775.40
  6. Step 6: Final answer
    x = 257,548

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.