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Finding the Fourth Proportional to 124,143, 186,243.66 and 41,037

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Solution

The fourth proportional to 124,143, 186,243.66 and 41,037 is: 61,565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,143 : 186,243.66 = 41,037 : x
  2. Step 2: Convert to fraction form
    124,143/186,243.66 = 41,037/x
  3. Step 3: Cross multiply
    124,143x = 186,243.66 × 41,037
  4. Step 4: Simplify right side
    124,143x = 7,642,881,075.42
  5. Step 5: Solve for x
    x = 7,642,881,075.42/124,143
  6. Step 6: Final answer
    x = 61,565.14

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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.