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Finding the Fourth Proportional to 171,347.40, 257,021.04 and 46,688.40

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Solution

The fourth proportional to 171,347.40, 257,021.04 and 46,688.40 is: 70,032.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,347.40 : 257,021.04 = 46,688.40 : x
  2. Step 2: Convert to fraction form
    171,347.40/257,021.04 = 46,688.40/x
  3. Step 3: Cross multiply
    171,347.40x = 257,021.04 × 46,688.40
  4. Step 4: Simplify right side
    171,347.40x = 11,999,901,123.94
  5. Step 5: Solve for x
    x = 11,999,901,123.94/171,347.40
  6. Step 6: Final answer
    x = 70,032.58

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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.