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Finding the Fourth Proportional to 201,042.70, 301,564.05 and 53,298.70

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Solution

The fourth proportional to 201,042.70, 301,564.05 and 53,298.70 is: 79,948.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,042.70 : 301,564.05 = 53,298.70 : x
  2. Step 2: Convert to fraction form
    201,042.70/301,564.05 = 53,298.70/x
  3. Step 3: Cross multiply
    201,042.70x = 301,564.05 × 53,298.70
  4. Step 4: Simplify right side
    201,042.70x = 16,072,971,831.74
  5. Step 5: Solve for x
    x = 16,072,971,831.74/201,042.70
  6. Step 6: Final answer
    x = 79,948.05

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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.