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Finding the Fourth Proportional to 134,421, 201,631.50 and 46,869

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Solution

The fourth proportional to 134,421, 201,631.50 and 46,869 is: 70,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,421 : 201,631.50 = 46,869 : x
  2. Step 2: Convert to fraction form
    134,421/201,631.50 = 46,869/x
  3. Step 3: Cross multiply
    134,421x = 201,631.50 × 46,869
  4. Step 4: Simplify right side
    134,421x = 9,450,266,773.50
  5. Step 5: Solve for x
    x = 9,450,266,773.50/134,421
  6. Step 6: Final answer
    x = 70,303.50

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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.