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Finding the Fourth Proportional to 201,510.60, 302,460.30 and 101,783.40

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Solution

The fourth proportional to 201,510.60, 302,460.30 and 101,783.40 is: 152,773.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,510.60 : 302,460.30 = 101,783.40 : x
  2. Step 2: Convert to fraction form
    201,510.60/302,460.30 = 101,783.40/x
  3. Step 3: Cross multiply
    201,510.60x = 302,460.30 × 101,783.40
  4. Step 4: Simplify right side
    201,510.60x = 30,785,437,699.02
  5. Step 5: Solve for x
    x = 30,785,437,699.02/201,510.60
  6. Step 6: Final answer
    x = 152,773.29

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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.