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Finding the Fourth Proportional to 145,896.63, 218,762.87 and 46,038.21

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Solution

The fourth proportional to 145,896.63, 218,762.87 and 46,038.21 is: 69,031.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,896.63 : 218,762.87 = 46,038.21 : x
  2. Step 2: Convert to fraction form
    145,896.63/218,762.87 = 46,038.21/x
  3. Step 3: Cross multiply
    145,896.63x = 218,762.87 × 46,038.21
  4. Step 4: Simplify right side
    145,896.63x = 10,071,450,719.07
  5. Step 5: Solve for x
    x = 10,071,450,719.07/145,896.63
  6. Step 6: Final answer
    x = 69,031.41

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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.