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Finding the Fourth Proportional to 223,543.50, 308,333.79 and 147,038.46

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Solution

The fourth proportional to 223,543.50, 308,333.79 and 147,038.46 is: 202,810.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,543.50 : 308,333.79 = 147,038.46 : x
  2. Step 2: Convert to fraction form
    223,543.50/308,333.79 = 147,038.46/x
  3. Step 3: Cross multiply
    223,543.50x = 308,333.79 × 147,038.46
  4. Step 4: Simplify right side
    223,543.50x = 45,336,925,647.56
  5. Step 5: Solve for x
    x = 45,336,925,647.56/223,543.50
  6. Step 6: Final answer
    x = 202,810.31

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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.