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Finding the Fourth Proportional to 210,035.69, 315,116.10 and 97,782.24

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Solution

The fourth proportional to 210,035.69, 315,116.10 and 97,782.24 is: 146,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,035.69 : 315,116.10 = 97,782.24 : x
  2. Step 2: Convert to fraction form
    210,035.69/315,116.10 = 97,782.24/x
  3. Step 3: Cross multiply
    210,035.69x = 315,116.10 × 97,782.24
  4. Step 4: Simplify right side
    210,035.69x = 30,812,758,118.06
  5. Step 5: Solve for x
    x = 30,812,758,118.06/210,035.69
  6. Step 6: Final answer
    x = 146,702.49

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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.