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Finding the Fourth Proportional to 114,731.76, 158,345.64 and 64,434

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Solution

The fourth proportional to 114,731.76, 158,345.64 and 64,434 is: 88,927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,731.76 : 158,345.64 = 64,434 : x
  2. Step 2: Convert to fraction form
    114,731.76/158,345.64 = 64,434/x
  3. Step 3: Cross multiply
    114,731.76x = 158,345.64 × 64,434
  4. Step 4: Simplify right side
    114,731.76x = 10,202,842,967.76
  5. Step 5: Solve for x
    x = 10,202,842,967.76/114,731.76
  6. Step 6: Final answer
    x = 88,927.80

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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.