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Finding the Fourth Proportional to 152,461.60, 228,692.40 and 102,565.60

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Solution

The fourth proportional to 152,461.60, 228,692.40 and 102,565.60 is: 153,848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,461.60 : 228,692.40 = 102,565.60 : x
  2. Step 2: Convert to fraction form
    152,461.60/228,692.40 = 102,565.60/x
  3. Step 3: Cross multiply
    152,461.60x = 228,692.40 × 102,565.60
  4. Step 4: Simplify right side
    152,461.60x = 23,455,973,221.44
  5. Step 5: Solve for x
    x = 23,455,973,221.44/152,461.60
  6. Step 6: Final answer
    x = 153,848.40

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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.