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Finding the Fourth Proportional to 255,941.64, 353,312.70 and 165,341.76

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Solution

The fourth proportional to 255,941.64, 353,312.70 and 165,341.76 is: 228,244.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,941.64 : 353,312.70 = 165,341.76 : x
  2. Step 2: Convert to fraction form
    255,941.64/353,312.70 = 165,341.76/x
  3. Step 3: Cross multiply
    255,941.64x = 353,312.70 × 165,341.76
  4. Step 4: Simplify right side
    255,941.64x = 58,417,343,648.35
  5. Step 5: Solve for x
    x = 58,417,343,648.35/255,941.64
  6. Step 6: Final answer
    x = 228,244.78

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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.