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Finding the Fourth Proportional to 153,477.69, 211,798.62 and 85,495.47

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Solution

The fourth proportional to 153,477.69, 211,798.62 and 85,495.47 is: 117,983.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,477.69 : 211,798.62 = 85,495.47 : x
  2. Step 2: Convert to fraction form
    153,477.69/211,798.62 = 85,495.47/x
  3. Step 3: Cross multiply
    153,477.69x = 211,798.62 × 85,495.47
  4. Step 4: Simplify right side
    153,477.69x = 18,107,822,562.25
  5. Step 5: Solve for x
    x = 18,107,822,562.25/153,477.69
  6. Step 6: Final answer
    x = 117,983.42

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