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Finding the Fourth Proportional to 401,402, 602,143.36 and 105,914

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Solution

The fourth proportional to 401,402, 602,143.36 and 105,914 is: 158,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,402 : 602,143.36 = 105,914 : x
  2. Step 2: Convert to fraction form
    401,402/602,143.36 = 105,914/x
  3. Step 3: Cross multiply
    401,402x = 602,143.36 × 105,914
  4. Step 4: Simplify right side
    401,402x = 63,775,411,831.04
  5. Step 5: Solve for x
    x = 63,775,411,831.04/401,402
  6. Step 6: Final answer
    x = 158,881.65

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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.