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Finding the Fourth Proportional to 210,129.60, 314,848.80 and 174,878.40

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Solution

The fourth proportional to 210,129.60, 314,848.80 and 174,878.40 is: 262,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,129.60 : 314,848.80 = 174,878.40 : x
  2. Step 2: Convert to fraction form
    210,129.60/314,848.80 = 174,878.40/x
  3. Step 3: Cross multiply
    210,129.60x = 314,848.80 × 174,878.40
  4. Step 4: Simplify right side
    210,129.60x = 55,060,254,385.92
  5. Step 5: Solve for x
    x = 55,060,254,385.92/210,129.60
  6. Step 6: Final answer
    x = 262,029.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.