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Finding the Fourth Proportional to 283,129.16, 424,767.24 and 105,637.50

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Solution

The fourth proportional to 283,129.16, 424,767.24 and 105,637.50 is: 158,483.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,129.16 : 424,767.24 = 105,637.50 : x
  2. Step 2: Convert to fraction form
    283,129.16/424,767.24 = 105,637.50/x
  3. Step 3: Cross multiply
    283,129.16x = 424,767.24 × 105,637.50
  4. Step 4: Simplify right side
    283,129.16x = 44,871,349,315.50
  5. Step 5: Solve for x
    x = 44,871,349,315.50/283,129.16
  6. Step 6: Final answer
    x = 158,483.68

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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.