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Finding the Fourth Proportional to 153,714.09, 212,126.64 and 85,735.38

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Solution

The fourth proportional to 153,714.09, 212,126.64 and 85,735.38 is: 118,315.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,714.09 : 212,126.64 = 85,735.38 : x
  2. Step 2: Convert to fraction form
    153,714.09/212,126.64 = 85,735.38/x
  3. Step 3: Cross multiply
    153,714.09x = 212,126.64 × 85,735.38
  4. Step 4: Simplify right side
    153,714.09x = 18,186,758,088.52
  5. Step 5: Solve for x
    x = 18,186,758,088.52/153,714.09
  6. Step 6: Final answer
    x = 118,315.49

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