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Finding the Fourth Proportional to 201,458.60, 301,823.40 and 96,045.20

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Solution

The fourth proportional to 201,458.60, 301,823.40 and 96,045.20 is: 143,894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,458.60 : 301,823.40 = 96,045.20 : x
  2. Step 2: Convert to fraction form
    201,458.60/301,823.40 = 96,045.20/x
  3. Step 3: Cross multiply
    201,458.60x = 301,823.40 × 96,045.20
  4. Step 4: Simplify right side
    201,458.60x = 28,988,688,817.68
  5. Step 5: Solve for x
    x = 28,988,688,817.68/201,458.60
  6. Step 6: Final answer
    x = 143,894.02

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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.