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Finding the Fourth Proportional to 233,307.84, 350,116.16 and 128,200

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Solution

The fourth proportional to 233,307.84, 350,116.16 and 128,200 is: 192,384.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,307.84 : 350,116.16 = 128,200 : x
  2. Step 2: Convert to fraction form
    233,307.84/350,116.16 = 128,200/x
  3. Step 3: Cross multiply
    233,307.84x = 350,116.16 × 128,200
  4. Step 4: Simplify right side
    233,307.84x = 44,884,891,712
  5. Step 5: Solve for x
    x = 44,884,891,712/233,307.84
  6. Step 6: Final answer
    x = 192,384.84

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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.