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Finding the Fourth Proportional to 316,068.64, 474,004.16 and 105,657.44

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Solution

The fourth proportional to 316,068.64, 474,004.16 and 105,657.44 is: 158,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,068.64 : 474,004.16 = 105,657.44 : x
  2. Step 2: Convert to fraction form
    316,068.64/474,004.16 = 105,657.44/x
  3. Step 3: Cross multiply
    316,068.64x = 474,004.16 × 105,657.44
  4. Step 4: Simplify right side
    316,068.64x = 50,082,066,094.95
  5. Step 5: Solve for x
    x = 50,082,066,094.95/316,068.64
  6. Step 6: Final answer
    x = 158,453.13

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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.