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Finding the Fourth Proportional to 405,063.84, 607,681.92 and 138,752.88

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Solution

The fourth proportional to 405,063.84, 607,681.92 and 138,752.88 is: 208,158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,063.84 : 607,681.92 = 138,752.88 : x
  2. Step 2: Convert to fraction form
    405,063.84/607,681.92 = 138,752.88/x
  3. Step 3: Cross multiply
    405,063.84x = 607,681.92 × 138,752.88
  4. Step 4: Simplify right side
    405,063.84x = 84,317,616,523.93
  5. Step 5: Solve for x
    x = 84,317,616,523.93/405,063.84
  6. Step 6: Final answer
    x = 208,158.83

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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.