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Finding the Fourth Proportional to 201,875.70, 302,857.88 and 59,709.87

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Solution

The fourth proportional to 201,875.70, 302,857.88 and 59,709.87 is: 89,577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,875.70 : 302,857.88 = 59,709.87 : x
  2. Step 2: Convert to fraction form
    201,875.70/302,857.88 = 59,709.87/x
  3. Step 3: Cross multiply
    201,875.70x = 302,857.88 × 59,709.87
  4. Step 4: Simplify right side
    201,875.70x = 18,083,604,643.28
  5. Step 5: Solve for x
    x = 18,083,604,643.28/201,875.70
  6. Step 6: Final answer
    x = 89,577.92

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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.