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Finding the Fourth Proportional to 220,946.12, 304,808.64 and 149,300

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Solution

The fourth proportional to 220,946.12, 304,808.64 and 149,300 is: 205,968.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,946.12 : 304,808.64 = 149,300 : x
  2. Step 2: Convert to fraction form
    220,946.12/304,808.64 = 149,300/x
  3. Step 3: Cross multiply
    220,946.12x = 304,808.64 × 149,300
  4. Step 4: Simplify right side
    220,946.12x = 45,507,929,952
  5. Step 5: Solve for x
    x = 45,507,929,952/220,946.12
  6. Step 6: Final answer
    x = 205,968.45

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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.