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Finding the Fourth Proportional to 210,364.90, 290,397.36 and 163,692.16

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Solution

The fourth proportional to 210,364.90, 290,397.36 and 163,692.16 is: 225,968.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,364.90 : 290,397.36 = 163,692.16 : x
  2. Step 2: Convert to fraction form
    210,364.90/290,397.36 = 163,692.16/x
  3. Step 3: Cross multiply
    210,364.90x = 290,397.36 × 163,692.16
  4. Step 4: Simplify right side
    210,364.90x = 47,535,771,116.70
  5. Step 5: Solve for x
    x = 47,535,771,116.70/210,364.90
  6. Step 6: Final answer
    x = 225,968.17

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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.