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Finding the Fourth Proportional to 390,443.49, 585,670.37 and 106,148.07

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Solution

The fourth proportional to 390,443.49, 585,670.37 and 106,148.07 is: 159,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,443.49 : 585,670.37 = 106,148.07 : x
  2. Step 2: Convert to fraction form
    390,443.49/585,670.37 = 106,148.07/x
  3. Step 3: Cross multiply
    390,443.49x = 585,670.37 × 106,148.07
  4. Step 4: Simplify right side
    390,443.49x = 62,167,778,900.95
  5. Step 5: Solve for x
    x = 62,167,778,900.95/390,443.49
  6. Step 6: Final answer
    x = 159,223.50

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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.