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Finding the Fourth Proportional to 201,721.70, 302,582.55 and 103,417.70

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Solution

The fourth proportional to 201,721.70, 302,582.55 and 103,417.70 is: 155,126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,721.70 : 302,582.55 = 103,417.70 : x
  2. Step 2: Convert to fraction form
    201,721.70/302,582.55 = 103,417.70/x
  3. Step 3: Cross multiply
    201,721.70x = 302,582.55 × 103,417.70
  4. Step 4: Simplify right side
    201,721.70x = 31,292,391,381.14
  5. Step 5: Solve for x
    x = 31,292,391,381.14/201,721.70
  6. Step 6: Final answer
    x = 155,126.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.