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Finding the Fourth Proportional to 185,590.84, 256,114.18 and 100,706.08

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Solution

The fourth proportional to 185,590.84, 256,114.18 and 100,706.08 is: 138,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,590.84 : 256,114.18 = 100,706.08 : x
  2. Step 2: Convert to fraction form
    185,590.84/256,114.18 = 100,706.08/x
  3. Step 3: Cross multiply
    185,590.84x = 256,114.18 × 100,706.08
  4. Step 4: Simplify right side
    185,590.84x = 25,792,255,100.21
  5. Step 5: Solve for x
    x = 25,792,255,100.21/185,590.84
  6. Step 6: Final answer
    x = 138,973.75

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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.