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Finding the Fourth Proportional to 153,410.63, 211,726.10 and 86,355.59

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Solution

The fourth proportional to 153,410.63, 211,726.10 and 86,355.59 is: 119,181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,410.63 : 211,726.10 = 86,355.59 : x
  2. Step 2: Convert to fraction form
    153,410.63/211,726.10 = 86,355.59/x
  3. Step 3: Cross multiply
    153,410.63x = 211,726.10 × 86,355.59
  4. Step 4: Simplify right side
    153,410.63x = 18,283,731,441.16
  5. Step 5: Solve for x
    x = 18,283,731,441.16/153,410.63
  6. Step 6: Final answer
    x = 119,181.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.