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Finding the Fourth Proportional to 141,468.83, 211,994.79 and 105,762.64

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Solution

The fourth proportional to 141,468.83, 211,994.79 and 105,762.64 is: 158,488.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,468.83 : 211,994.79 = 105,762.64 : x
  2. Step 2: Convert to fraction form
    141,468.83/211,994.79 = 105,762.64/x
  3. Step 3: Cross multiply
    141,468.83x = 211,994.79 × 105,762.64
  4. Step 4: Simplify right side
    141,468.83x = 22,421,128,423.68
  5. Step 5: Solve for x
    x = 22,421,128,423.68/141,468.83
  6. Step 6: Final answer
    x = 158,488.12

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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.