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Finding the Fourth Proportional to 152,673.32, 228,998.46 and 77,746.52

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Solution

The fourth proportional to 152,673.32, 228,998.46 and 77,746.52 is: 116,613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,673.32 : 228,998.46 = 77,746.52 : x
  2. Step 2: Convert to fraction form
    152,673.32/228,998.46 = 77,746.52/x
  3. Step 3: Cross multiply
    152,673.32x = 228,998.46 × 77,746.52
  4. Step 4: Simplify right side
    152,673.32x = 17,803,833,350.36
  5. Step 5: Solve for x
    x = 17,803,833,350.36/152,673.32
  6. Step 6: Final answer
    x = 116,613.91

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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.