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Finding the Fourth Proportional to 205,172.16, 307,802.88 and 64,932

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Solution

The fourth proportional to 205,172.16, 307,802.88 and 64,932 is: 97,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,172.16 : 307,802.88 = 64,932 : x
  2. Step 2: Convert to fraction form
    205,172.16/307,802.88 = 64,932/x
  3. Step 3: Cross multiply
    205,172.16x = 307,802.88 × 64,932
  4. Step 4: Simplify right side
    205,172.16x = 19,986,256,604.16
  5. Step 5: Solve for x
    x = 19,986,256,604.16/205,172.16
  6. Step 6: Final answer
    x = 97,412.13

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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.