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Finding the Fourth Proportional to 158,097.34, 237,146.01 and 64,603

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Solution

The fourth proportional to 158,097.34, 237,146.01 and 64,603 is: 96,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,097.34 : 237,146.01 = 64,603 : x
  2. Step 2: Convert to fraction form
    158,097.34/237,146.01 = 64,603/x
  3. Step 3: Cross multiply
    158,097.34x = 237,146.01 × 64,603
  4. Step 4: Simplify right side
    158,097.34x = 15,320,343,684.03
  5. Step 5: Solve for x
    x = 15,320,343,684.03/158,097.34
  6. Step 6: Final answer
    x = 96,904.50

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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.