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Finding the Fourth Proportional to 228,215.17, 314,830.88 and 147,668.67

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Solution

The fourth proportional to 228,215.17, 314,830.88 and 147,668.67 is: 203,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,215.17 : 314,830.88 = 147,668.67 : x
  2. Step 2: Convert to fraction form
    228,215.17/314,830.88 = 147,668.67/x
  3. Step 3: Cross multiply
    228,215.17x = 314,830.88 × 147,668.67
  4. Step 4: Simplify right side
    228,215.17x = 46,490,655,750.38
  5. Step 5: Solve for x
    x = 46,490,655,750.38/228,215.17
  6. Step 6: Final answer
    x = 203,714.14

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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.