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Finding the Fourth Proportional to 223,681.84, 308,580.61 and 151,061.14

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Solution

The fourth proportional to 223,681.84, 308,580.61 and 151,061.14 is: 208,396.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,681.84 : 308,580.61 = 151,061.14 : x
  2. Step 2: Convert to fraction form
    223,681.84/308,580.61 = 151,061.14/x
  3. Step 3: Cross multiply
    223,681.84x = 308,580.61 × 151,061.14
  4. Step 4: Simplify right side
    223,681.84x = 46,614,538,728.50
  5. Step 5: Solve for x
    x = 46,614,538,728.50/223,681.84
  6. Step 6: Final answer
    x = 208,396.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.