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Finding the Fourth Proportional to 127,762.29, 190,745.10 and 97,618.77

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Solution

The fourth proportional to 127,762.29, 190,745.10 and 97,618.77 is: 145,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,762.29 : 190,745.10 = 97,618.77 : x
  2. Step 2: Convert to fraction form
    127,762.29/190,745.10 = 97,618.77/x
  3. Step 3: Cross multiply
    127,762.29x = 190,745.10 × 97,618.77
  4. Step 4: Simplify right side
    127,762.29x = 18,620,302,045.53
  5. Step 5: Solve for x
    x = 18,620,302,045.53/127,762.29
  6. Step 6: Final answer
    x = 145,741.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.