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Finding the Fourth Proportional to 147,683.60, 221,641.14 and 103,019.84

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Solution

The fourth proportional to 147,683.60, 221,641.14 and 103,019.84 is: 154,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,683.60 : 221,641.14 = 103,019.84 : x
  2. Step 2: Convert to fraction form
    147,683.60/221,641.14 = 103,019.84/x
  3. Step 3: Cross multiply
    147,683.60x = 221,641.14 × 103,019.84
  4. Step 4: Simplify right side
    147,683.60x = 22,833,434,780.22
  5. Step 5: Solve for x
    x = 22,833,434,780.22/147,683.60
  6. Step 6: Final answer
    x = 154,610.50

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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.