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Finding the Fourth Proportional to 228,153.73, 314,894.27 and 146,583.95

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Solution

The fourth proportional to 228,153.73, 314,894.27 and 146,583.95 is: 202,312.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,153.73 : 314,894.27 = 146,583.95 : x
  2. Step 2: Convert to fraction form
    228,153.73/314,894.27 = 146,583.95/x
  3. Step 3: Cross multiply
    228,153.73x = 314,894.27 × 146,583.95
  4. Step 4: Simplify right side
    228,153.73x = 46,158,445,196.05
  5. Step 5: Solve for x
    x = 46,158,445,196.05/228,153.73
  6. Step 6: Final answer
    x = 202,312.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.