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Finding the Fourth Proportional to 223,683.94, 308,784.59 and 147,243.17

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Solution

The fourth proportional to 223,683.94, 308,784.59 and 147,243.17 is: 203,261.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,683.94 : 308,784.59 = 147,243.17 : x
  2. Step 2: Convert to fraction form
    223,683.94/308,784.59 = 147,243.17/x
  3. Step 3: Cross multiply
    223,683.94x = 308,784.59 × 147,243.17
  4. Step 4: Simplify right side
    223,683.94x = 45,466,421,878.75
  5. Step 5: Solve for x
    x = 45,466,421,878.75/223,683.94
  6. Step 6: Final answer
    x = 203,261.90

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1.5x scale

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.