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Finding the Fourth Proportional to 98,557, 135,848.94 and 77,009.08

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Solution

The fourth proportional to 98,557, 135,848.94 and 77,009.08 is: 106,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,557 : 135,848.94 = 77,009.08 : x
  2. Step 2: Convert to fraction form
    98,557/135,848.94 = 77,009.08/x
  3. Step 3: Cross multiply
    98,557x = 135,848.94 × 77,009.08
  4. Step 4: Simplify right side
    98,557x = 10,461,601,888.38
  5. Step 5: Solve for x
    x = 10,461,601,888.38/98,557
  6. Step 6: Final answer
    x = 106,147.73

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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.