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Finding the Fourth Proportional to 103,777.40, 155,666.10 and 51,289.40

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Solution

The fourth proportional to 103,777.40, 155,666.10 and 51,289.40 is: 76,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,777.40 : 155,666.10 = 51,289.40 : x
  2. Step 2: Convert to fraction form
    103,777.40/155,666.10 = 51,289.40/x
  3. Step 3: Cross multiply
    103,777.40x = 155,666.10 × 51,289.40
  4. Step 4: Simplify right side
    103,777.40x = 7,984,020,869.34
  5. Step 5: Solve for x
    x = 7,984,020,869.34/103,777.40
  6. Step 6: Final answer
    x = 76,934.10

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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.