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Finding the Fourth Proportional to 171,071.70, 256,607.55 and 46,412.70

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Solution

The fourth proportional to 171,071.70, 256,607.55 and 46,412.70 is: 69,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,071.70 : 256,607.55 = 46,412.70 : x
  2. Step 2: Convert to fraction form
    171,071.70/256,607.55 = 46,412.70/x
  3. Step 3: Cross multiply
    171,071.70x = 256,607.55 × 46,412.70
  4. Step 4: Simplify right side
    171,071.70x = 11,909,849,235.89
  5. Step 5: Solve for x
    x = 11,909,849,235.89/171,071.70
  6. Step 6: Final answer
    x = 69,619.05

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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.