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Finding the Fourth Proportional to 145,634.95, 201,038.32 and 97,916.10

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Solution

The fourth proportional to 145,634.95, 201,038.32 and 97,916.10 is: 135,165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,634.95 : 201,038.32 = 97,916.10 : x
  2. Step 2: Convert to fraction form
    145,634.95/201,038.32 = 97,916.10/x
  3. Step 3: Cross multiply
    145,634.95x = 201,038.32 × 97,916.10
  4. Step 4: Simplify right side
    145,634.95x = 19,684,888,244.95
  5. Step 5: Solve for x
    x = 19,684,888,244.95/145,634.95
  6. Step 6: Final answer
    x = 135,165.96

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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.