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Finding the Fourth Proportional to 183,527.84, 253,287.60 and 102,977.12

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Solution

The fourth proportional to 183,527.84, 253,287.60 and 102,977.12 is: 142,119.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,527.84 : 253,287.60 = 102,977.12 : x
  2. Step 2: Convert to fraction form
    183,527.84/253,287.60 = 102,977.12/x
  3. Step 3: Cross multiply
    183,527.84x = 253,287.60 × 102,977.12
  4. Step 4: Simplify right side
    183,527.84x = 26,082,827,579.71
  5. Step 5: Solve for x
    x = 26,082,827,579.71/183,527.84
  6. Step 6: Final answer
    x = 142,119.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.