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Finding the Fourth Proportional to 346,077.60, 519,019.20 and 109,492.80

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Solution

The fourth proportional to 346,077.60, 519,019.20 and 109,492.80 is: 164,208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,077.60 : 519,019.20 = 109,492.80 : x
  2. Step 2: Convert to fraction form
    346,077.60/519,019.20 = 109,492.80/x
  3. Step 3: Cross multiply
    346,077.60x = 519,019.20 × 109,492.80
  4. Step 4: Simplify right side
    346,077.60x = 56,828,865,461.76
  5. Step 5: Solve for x
    x = 56,828,865,461.76/346,077.60
  6. Step 6: Final answer
    x = 164,208.45

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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.