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Finding the Fourth Proportional to 176,313.40, 264,416.10 and 57,957.40

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Solution

The fourth proportional to 176,313.40, 264,416.10 and 57,957.40 is: 86,918.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,313.40 : 264,416.10 = 57,957.40 : x
  2. Step 2: Convert to fraction form
    176,313.40/264,416.10 = 57,957.40/x
  3. Step 3: Cross multiply
    176,313.40x = 264,416.10 × 57,957.40
  4. Step 4: Simplify right side
    176,313.40x = 15,324,869,674.14
  5. Step 5: Solve for x
    x = 15,324,869,674.14/176,313.40
  6. Step 6: Final answer
    x = 86,918.35

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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.