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Finding the Fourth Proportional to 228,030.24, 314,646.48 and 127,408.80

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Solution

The fourth proportional to 228,030.24, 314,646.48 and 127,408.80 is: 175,804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,030.24 : 314,646.48 = 127,408.80 : x
  2. Step 2: Convert to fraction form
    228,030.24/314,646.48 = 127,408.80/x
  3. Step 3: Cross multiply
    228,030.24x = 314,646.48 × 127,408.80
  4. Step 4: Simplify right side
    228,030.24x = 40,088,730,441.02
  5. Step 5: Solve for x
    x = 40,088,730,441.02/228,030.24
  6. Step 6: Final answer
    x = 175,804.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.