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Finding the Fourth Proportional to 99,205.32, 148,681.44 and 46,498.68

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Solution

The fourth proportional to 99,205.32, 148,681.44 and 46,498.68 is: 69,688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,205.32 : 148,681.44 = 46,498.68 : x
  2. Step 2: Convert to fraction form
    99,205.32/148,681.44 = 46,498.68/x
  3. Step 3: Cross multiply
    99,205.32x = 148,681.44 × 46,498.68
  4. Step 4: Simplify right side
    99,205.32x = 6,913,490,700.50
  5. Step 5: Solve for x
    x = 6,913,490,700.50/99,205.32
  6. Step 6: Final answer
    x = 69,688.71

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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.