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Finding the Fourth Proportional to 201,970.10, 302,955.15 and 83,872.10

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Solution

The fourth proportional to 201,970.10, 302,955.15 and 83,872.10 is: 125,808.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,970.10 : 302,955.15 = 83,872.10 : x
  2. Step 2: Convert to fraction form
    201,970.10/302,955.15 = 83,872.10/x
  3. Step 3: Cross multiply
    201,970.10x = 302,955.15 × 83,872.10
  4. Step 4: Simplify right side
    201,970.10x = 25,409,484,636.32
  5. Step 5: Solve for x
    x = 25,409,484,636.32/201,970.10
  6. Step 6: Final answer
    x = 125,808.15

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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.