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Finding the Fourth Proportional to 145,840.64, 218,765.64 and 46,001.76

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Solution

The fourth proportional to 145,840.64, 218,765.64 and 46,001.76 is: 69,004.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,840.64 : 218,765.64 = 46,001.76 : x
  2. Step 2: Convert to fraction form
    145,840.64/218,765.64 = 46,001.76/x
  3. Step 3: Cross multiply
    145,840.64x = 218,765.64 × 46,001.76
  4. Step 4: Simplify right side
    145,840.64x = 10,063,604,467.53
  5. Step 5: Solve for x
    x = 10,063,604,467.53/145,840.64
  6. Step 6: Final answer
    x = 69,004.12

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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.