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Finding the Fourth Proportional to 202,421.90, 277,316.74 and 194,852.16

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Solution

The fourth proportional to 202,421.90, 277,316.74 and 194,852.16 is: 266,946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,421.90 : 277,316.74 = 194,852.16 : x
  2. Step 2: Convert to fraction form
    202,421.90/277,316.74 = 194,852.16/x
  3. Step 3: Cross multiply
    202,421.90x = 277,316.74 × 194,852.16
  4. Step 4: Simplify right side
    202,421.90x = 54,035,765,793.16
  5. Step 5: Solve for x
    x = 54,035,765,793.16/202,421.90
  6. Step 6: Final answer
    x = 266,946.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.