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Finding the Fourth Proportional to 301,086.95, 451,631.19 and 101,547.50

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Solution

The fourth proportional to 301,086.95, 451,631.19 and 101,547.50 is: 152,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,086.95 : 451,631.19 = 101,547.50 : x
  2. Step 2: Convert to fraction form
    301,086.95/451,631.19 = 101,547.50/x
  3. Step 3: Cross multiply
    301,086.95x = 451,631.19 × 101,547.50
  4. Step 4: Simplify right side
    301,086.95x = 45,862,018,266.53
  5. Step 5: Solve for x
    x = 45,862,018,266.53/301,086.95
  6. Step 6: Final answer
    x = 152,321.51

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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.