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Finding the Fourth Proportional to 175,004.16, 241,421.70 and 114,548.16

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Solution

The fourth proportional to 175,004.16, 241,421.70 and 114,548.16 is: 158,021.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,004.16 : 241,421.70 = 114,548.16 : x
  2. Step 2: Convert to fraction form
    175,004.16/241,421.70 = 114,548.16/x
  3. Step 3: Cross multiply
    175,004.16x = 241,421.70 × 114,548.16
  4. Step 4: Simplify right side
    175,004.16x = 27,654,411,519.07
  5. Step 5: Solve for x
    x = 27,654,411,519.07/175,004.16
  6. Step 6: Final answer
    x = 158,021.45

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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.