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Finding the Fourth Proportional to 145,365.34, 200,547.21 and 107,216.46

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Solution

The fourth proportional to 145,365.34, 200,547.21 and 107,216.46 is: 147,916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,365.34 : 200,547.21 = 107,216.46 : x
  2. Step 2: Convert to fraction form
    145,365.34/200,547.21 = 107,216.46/x
  3. Step 3: Cross multiply
    145,365.34x = 200,547.21 × 107,216.46
  4. Step 4: Simplify right side
    145,365.34x = 21,501,961,919.08
  5. Step 5: Solve for x
    x = 21,501,961,919.08/145,365.34
  6. Step 6: Final answer
    x = 147,916.70

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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.