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Finding the Fourth Proportional to 145,953.16, 218,582.22 and 93,199.24

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Solution

The fourth proportional to 145,953.16, 218,582.22 and 93,199.24 is: 139,576.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,953.16 : 218,582.22 = 93,199.24 : x
  2. Step 2: Convert to fraction form
    145,953.16/218,582.22 = 93,199.24/x
  3. Step 3: Cross multiply
    145,953.16x = 218,582.22 × 93,199.24
  4. Step 4: Simplify right side
    145,953.16x = 20,371,696,781.51
  5. Step 5: Solve for x
    x = 20,371,696,781.51/145,953.16
  6. Step 6: Final answer
    x = 139,576.95

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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.