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Finding the Fourth Proportional to 134,413, 201,619.50 and 46,861

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Solution

The fourth proportional to 134,413, 201,619.50 and 46,861 is: 70,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,413 : 201,619.50 = 46,861 : x
  2. Step 2: Convert to fraction form
    134,413/201,619.50 = 46,861/x
  3. Step 3: Cross multiply
    134,413x = 201,619.50 × 46,861
  4. Step 4: Simplify right side
    134,413x = 9,448,091,389.50
  5. Step 5: Solve for x
    x = 9,448,091,389.50/134,413
  6. Step 6: Final answer
    x = 70,291.50

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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.