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Finding the Fourth Proportional to 124,238, 186,386.16 and 41,132

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Solution

The fourth proportional to 124,238, 186,386.16 and 41,132 is: 61,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,238 : 186,386.16 = 41,132 : x
  2. Step 2: Convert to fraction form
    124,238/186,386.16 = 41,132/x
  3. Step 3: Cross multiply
    124,238x = 186,386.16 × 41,132
  4. Step 4: Simplify right side
    124,238x = 7,666,435,533.12
  5. Step 5: Solve for x
    x = 7,666,435,533.12/124,238
  6. Step 6: Final answer
    x = 61,707.65

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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.