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Finding the Fourth Proportional to 96,742.40, 145,113.60 and 96,051.20

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Solution

The fourth proportional to 96,742.40, 145,113.60 and 96,051.20 is: 144,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,742.40 : 145,113.60 = 96,051.20 : x
  2. Step 2: Convert to fraction form
    96,742.40/145,113.60 = 96,051.20/x
  3. Step 3: Cross multiply
    96,742.40x = 145,113.60 × 96,051.20
  4. Step 4: Simplify right side
    96,742.40x = 13,938,335,416.32
  5. Step 5: Solve for x
    x = 13,938,335,416.32/96,742.40
  6. Step 6: Final answer
    x = 144,076.80

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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.