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Finding the Fourth Proportional to 202,875.70, 304,313.55 and 97,669.30

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Solution

The fourth proportional to 202,875.70, 304,313.55 and 97,669.30 is: 146,503.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,875.70 : 304,313.55 = 97,669.30 : x
  2. Step 2: Convert to fraction form
    202,875.70/304,313.55 = 97,669.30/x
  3. Step 3: Cross multiply
    202,875.70x = 304,313.55 × 97,669.30
  4. Step 4: Simplify right side
    202,875.70x = 29,722,091,409.02
  5. Step 5: Solve for x
    x = 29,722,091,409.02/202,875.70
  6. Step 6: Final answer
    x = 146,503.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.