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Finding the Fourth Proportional to 186,197, 256,949.70 and 101,312.60

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Solution

The fourth proportional to 186,197, 256,949.70 and 101,312.60 is: 139,810.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,197 : 256,949.70 = 101,312.60 : x
  2. Step 2: Convert to fraction form
    186,197/256,949.70 = 101,312.60/x
  3. Step 3: Cross multiply
    186,197x = 256,949.70 × 101,312.60
  4. Step 4: Simplify right side
    186,197x = 26,032,242,176.22
  5. Step 5: Solve for x
    x = 26,032,242,176.22/186,197
  6. Step 6: Final answer
    x = 139,810.21

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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.