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Finding the Fourth Proportional to 214,159.48, 295,539.42 and 138,838.84

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Solution

The fourth proportional to 214,159.48, 295,539.42 and 138,838.84 is: 191,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,159.48 : 295,539.42 = 138,838.84 : x
  2. Step 2: Convert to fraction form
    214,159.48/295,539.42 = 138,838.84/x
  3. Step 3: Cross multiply
    214,159.48x = 295,539.42 × 138,838.84
  4. Step 4: Simplify right side
    214,159.48x = 41,032,350,247.07
  5. Step 5: Solve for x
    x = 41,032,350,247.07/214,159.48
  6. Step 6: Final answer
    x = 191,597.17

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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.