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Finding the Fourth Proportional to 152,347.68, 228,536.64 and 52,494.48

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Solution

The fourth proportional to 152,347.68, 228,536.64 and 52,494.48 is: 78,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,347.68 : 228,536.64 = 52,494.48 : x
  2. Step 2: Convert to fraction form
    152,347.68/228,536.64 = 52,494.48/x
  3. Step 3: Cross multiply
    152,347.68x = 228,536.64 × 52,494.48
  4. Step 4: Simplify right side
    152,347.68x = 11,996,912,077.75
  5. Step 5: Solve for x
    x = 11,996,912,077.75/152,347.68
  6. Step 6: Final answer
    x = 78,746.93

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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.