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Finding the Fourth Proportional to 164,709, 247,041.66 and 46,389.64

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Solution

The fourth proportional to 164,709, 247,041.66 and 46,389.64 is: 69,578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,709 : 247,041.66 = 46,389.64 : x
  2. Step 2: Convert to fraction form
    164,709/247,041.66 = 46,389.64/x
  3. Step 3: Cross multiply
    164,709x = 247,041.66 × 46,389.64
  4. Step 4: Simplify right side
    164,709x = 11,460,173,672.40
  5. Step 5: Solve for x
    x = 11,460,173,672.40/164,709
  6. Step 6: Final answer
    x = 69,578.31

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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.