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Finding the Fourth Proportional to 210,468.90, 290,443.42 and 114,973.14

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Solution

The fourth proportional to 210,468.90, 290,443.42 and 114,973.14 is: 158,660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,468.90 : 290,443.42 = 114,973.14 : x
  2. Step 2: Convert to fraction form
    210,468.90/290,443.42 = 114,973.14/x
  3. Step 3: Cross multiply
    210,468.90x = 290,443.42 × 114,973.14
  4. Step 4: Simplify right side
    210,468.90x = 33,393,191,989.74
  5. Step 5: Solve for x
    x = 33,393,191,989.74/210,468.90
  6. Step 6: Final answer
    x = 158,660.93

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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.