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Finding the Fourth Proportional to 152,030.40, 228,067.20 and 46,838.40

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Solution

The fourth proportional to 152,030.40, 228,067.20 and 46,838.40 is: 70,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,030.40 : 228,067.20 = 46,838.40 : x
  2. Step 2: Convert to fraction form
    152,030.40/228,067.20 = 46,838.40/x
  3. Step 3: Cross multiply
    152,030.40x = 228,067.20 × 46,838.40
  4. Step 4: Simplify right side
    152,030.40x = 10,682,302,740.48
  5. Step 5: Solve for x
    x = 10,682,302,740.48/152,030.40
  6. Step 6: Final answer
    x = 70,264.25

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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.