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Finding the Fourth Proportional to 228,594, 315,386.82 and 148,083.24

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Solution

The fourth proportional to 228,594, 315,386.82 and 148,083.24 is: 204,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,594 : 315,386.82 = 148,083.24 : x
  2. Step 2: Convert to fraction form
    228,594/315,386.82 = 148,083.24/x
  3. Step 3: Cross multiply
    228,594x = 315,386.82 × 148,083.24
  4. Step 4: Simplify right side
    228,594x = 46,703,502,158.90
  5. Step 5: Solve for x
    x = 46,703,502,158.90/228,594
  6. Step 6: Final answer
    x = 204,307.65

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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.