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Finding the Fourth Proportional to 285,638.16, 427,927.50 and 143,316.30

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Solution

The fourth proportional to 285,638.16, 427,927.50 and 143,316.30 is: 214,708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,638.16 : 427,927.50 = 143,316.30 : x
  2. Step 2: Convert to fraction form
    285,638.16/427,927.50 = 143,316.30/x
  3. Step 3: Cross multiply
    285,638.16x = 427,927.50 × 143,316.30
  4. Step 4: Simplify right side
    285,638.16x = 61,328,985,968.25
  5. Step 5: Solve for x
    x = 61,328,985,968.25/285,638.16
  6. Step 6: Final answer
    x = 214,708.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.