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Finding the Fourth Proportional to 214,632.40, 321,948.60 and 96,307.60

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Solution

The fourth proportional to 214,632.40, 321,948.60 and 96,307.60 is: 144,461.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,632.40 : 321,948.60 = 96,307.60 : x
  2. Step 2: Convert to fraction form
    214,632.40/321,948.60 = 96,307.60/x
  3. Step 3: Cross multiply
    214,632.40x = 321,948.60 × 96,307.60
  4. Step 4: Simplify right side
    214,632.40x = 31,006,096,989.36
  5. Step 5: Solve for x
    x = 31,006,096,989.36/214,632.40
  6. Step 6: Final answer
    x = 144,461.40

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1.5x scale

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.