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Finding the Fourth Proportional to 102,290.58, 153,488.40 and 45,403.46

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Solution

The fourth proportional to 102,290.58, 153,488.40 and 45,403.46 is: 68,128.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,290.58 : 153,488.40 = 45,403.46 : x
  2. Step 2: Convert to fraction form
    102,290.58/153,488.40 = 45,403.46/x
  3. Step 3: Cross multiply
    102,290.58x = 153,488.40 × 45,403.46
  4. Step 4: Simplify right side
    102,290.58x = 6,968,904,429.86
  5. Step 5: Solve for x
    x = 6,968,904,429.86/102,290.58
  6. Step 6: Final answer
    x = 68,128.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.