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Finding the Fourth Proportional to 124,146, 186,248.16 and 41,040

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Solution

The fourth proportional to 124,146, 186,248.16 and 41,040 is: 61,569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,146 : 186,248.16 = 41,040 : x
  2. Step 2: Convert to fraction form
    124,146/186,248.16 = 41,040/x
  3. Step 3: Cross multiply
    124,146x = 186,248.16 × 41,040
  4. Step 4: Simplify right side
    124,146x = 7,643,624,486.40
  5. Step 5: Solve for x
    x = 7,643,624,486.40/124,146
  6. Step 6: Final answer
    x = 61,569.64

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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.