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Finding the Fourth Proportional to 185,896.92, 256,516.93 and 105,307.19

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Solution

The fourth proportional to 185,896.92, 256,516.93 and 105,307.19 is: 145,312.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,896.92 : 256,516.93 = 105,307.19 : x
  2. Step 2: Convert to fraction form
    185,896.92/256,516.93 = 105,307.19/x
  3. Step 3: Cross multiply
    185,896.92x = 256,516.93 × 105,307.19
  4. Step 4: Simplify right side
    185,896.92x = 27,013,075,539.87
  5. Step 5: Solve for x
    x = 27,013,075,539.87/185,896.92
  6. Step 6: Final answer
    x = 145,312.12

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1.5x scale

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.