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Finding the Fourth Proportional to 183,782.40, 257,557.80 and 183,782.40

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Solution

The fourth proportional to 183,782.40, 257,557.80 and 183,782.40 is: 257,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,782.40 : 257,557.80 = 183,782.40 : x
  2. Step 2: Convert to fraction form
    183,782.40/257,557.80 = 183,782.40/x
  3. Step 3: Cross multiply
    183,782.40x = 257,557.80 × 183,782.40
  4. Step 4: Simplify right side
    183,782.40x = 47,334,590,622.72
  5. Step 5: Solve for x
    x = 47,334,590,622.72/183,782.40
  6. Step 6: Final answer
    x = 257,557.80

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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.