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Finding the Fourth Proportional to 98,985, 148,406.96 and 46,365.78

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Solution

The fourth proportional to 98,985, 148,406.96 and 46,365.78 is: 69,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,985 : 148,406.96 = 46,365.78 : x
  2. Step 2: Convert to fraction form
    98,985/148,406.96 = 46,365.78/x
  3. Step 3: Cross multiply
    98,985x = 148,406.96 × 46,365.78
  4. Step 4: Simplify right side
    98,985x = 6,881,004,457.83
  5. Step 5: Solve for x
    x = 6,881,004,457.83/98,985
  6. Step 6: Final answer
    x = 69,515.63

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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.