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Finding the Fourth Proportional to 97,094, 145,390.44 and 57,678.32

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Solution

The fourth proportional to 97,094, 145,390.44 and 57,678.32 is: 86,368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,094 : 145,390.44 = 57,678.32 : x
  2. Step 2: Convert to fraction form
    97,094/145,390.44 = 57,678.32/x
  3. Step 3: Cross multiply
    97,094x = 145,390.44 × 57,678.32
  4. Step 4: Simplify right side
    97,094x = 8,385,876,323.26
  5. Step 5: Solve for x
    x = 8,385,876,323.26/97,094
  6. Step 6: Final answer
    x = 86,368.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.