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Finding the Fourth Proportional to 151,117.65, 208,534.11 and 83,123.65

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Solution

The fourth proportional to 151,117.65, 208,534.11 and 83,123.65 is: 114,706.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,117.65 : 208,534.11 = 83,123.65 : x
  2. Step 2: Convert to fraction form
    151,117.65/208,534.11 = 83,123.65/x
  3. Step 3: Cross multiply
    151,117.65x = 208,534.11 × 83,123.65
  4. Step 4: Simplify right side
    151,117.65x = 17,334,115,330.03
  5. Step 5: Solve for x
    x = 17,334,115,330.03/151,117.65
  6. Step 6: Final answer
    x = 114,706.10

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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.