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Finding the Fourth Proportional to 157,655.92, 236,457.96 and 46,822

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Solution

The fourth proportional to 157,655.92, 236,457.96 and 46,822 is: 70,225.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,655.92 : 236,457.96 = 46,822 : x
  2. Step 2: Convert to fraction form
    157,655.92/236,457.96 = 46,822/x
  3. Step 3: Cross multiply
    157,655.92x = 236,457.96 × 46,822
  4. Step 4: Simplify right side
    157,655.92x = 11,071,434,603.12
  5. Step 5: Solve for x
    x = 11,071,434,603.12/157,655.92
  6. Step 6: Final answer
    x = 70,225.30

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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.