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Finding the Fourth Proportional to 183,463.60, 257,024 and 183,463.60

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Solution

The fourth proportional to 183,463.60, 257,024 and 183,463.60 is: 257,024

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,463.60 : 257,024 = 183,463.60 : x
  2. Step 2: Convert to fraction form
    183,463.60/257,024 = 183,463.60/x
  3. Step 3: Cross multiply
    183,463.60x = 257,024 × 183,463.60
  4. Step 4: Simplify right side
    183,463.60x = 47,154,548,326.40
  5. Step 5: Solve for x
    x = 47,154,548,326.40/183,463.60
  6. Step 6: Final answer
    x = 257,024

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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.