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Finding the Fourth Proportional to 98,953.14, 148,426.06 and 42,807.38

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Solution

The fourth proportional to 98,953.14, 148,426.06 and 42,807.38 is: 64,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,953.14 : 148,426.06 = 42,807.38 : x
  2. Step 2: Convert to fraction form
    98,953.14/148,426.06 = 42,807.38/x
  3. Step 3: Cross multiply
    98,953.14x = 148,426.06 × 42,807.38
  4. Step 4: Simplify right side
    98,953.14x = 6,353,730,752.32
  5. Step 5: Solve for x
    x = 6,353,730,752.32/98,953.14
  6. Step 6: Final answer
    x = 64,209.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.