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Finding the Fourth Proportional to 153,437.49, 211,809.24 and 103,165.65

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Solution

The fourth proportional to 153,437.49, 211,809.24 and 103,165.65 is: 142,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,437.49 : 211,809.24 = 103,165.65 : x
  2. Step 2: Convert to fraction form
    153,437.49/211,809.24 = 103,165.65/x
  3. Step 3: Cross multiply
    153,437.49x = 211,809.24 × 103,165.65
  4. Step 4: Simplify right side
    153,437.49x = 21,851,437,920.61
  5. Step 5: Solve for x
    x = 21,851,437,920.61/153,437.49
  6. Step 6: Final answer
    x = 142,412.64

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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.