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Finding the Fourth Proportional to 176,301.31, 264,460.47 and 57,970.03

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Solution

The fourth proportional to 176,301.31, 264,460.47 and 57,970.03 is: 86,957.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,301.31 : 264,460.47 = 57,970.03 : x
  2. Step 2: Convert to fraction form
    176,301.31/264,460.47 = 57,970.03/x
  3. Step 3: Cross multiply
    176,301.31x = 264,460.47 × 57,970.03
  4. Step 4: Simplify right side
    176,301.31x = 15,330,781,379.71
  5. Step 5: Solve for x
    x = 15,330,781,379.71/176,301.31
  6. Step 6: Final answer
    x = 86,957.84

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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.