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Finding the Fourth Proportional to 146,368.64, 201,916.32 and 101,092.88

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Solution

The fourth proportional to 146,368.64, 201,916.32 and 101,092.88 is: 139,458.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,368.64 : 201,916.32 = 101,092.88 : x
  2. Step 2: Convert to fraction form
    146,368.64/201,916.32 = 101,092.88/x
  3. Step 3: Cross multiply
    146,368.64x = 201,916.32 × 101,092.88
  4. Step 4: Simplify right side
    146,368.64x = 20,412,302,307.80
  5. Step 5: Solve for x
    x = 20,412,302,307.80/146,368.64
  6. Step 6: Final answer
    x = 139,458.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.