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Finding the Fourth Proportional to 164,312.87, 246,321.63 and 59,058

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Solution

The fourth proportional to 164,312.87, 246,321.63 and 59,058 is: 88,533.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,312.87 : 246,321.63 = 59,058 : x
  2. Step 2: Convert to fraction form
    164,312.87/246,321.63 = 59,058/x
  3. Step 3: Cross multiply
    164,312.87x = 246,321.63 × 59,058
  4. Step 4: Simplify right side
    164,312.87x = 14,547,262,824.54
  5. Step 5: Solve for x
    x = 14,547,262,824.54/164,312.87
  6. Step 6: Final answer
    x = 88,533.92

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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.