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Finding the Fourth Proportional to 152,419.41, 210,328.27 and 84,430.01

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Solution

The fourth proportional to 152,419.41, 210,328.27 and 84,430.01 is: 116,507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,419.41 : 210,328.27 = 84,430.01 : x
  2. Step 2: Convert to fraction form
    152,419.41/210,328.27 = 84,430.01/x
  3. Step 3: Cross multiply
    152,419.41x = 210,328.27 × 84,430.01
  4. Step 4: Simplify right side
    152,419.41x = 17,758,018,254.13
  5. Step 5: Solve for x
    x = 17,758,018,254.13/152,419.41
  6. Step 6: Final answer
    x = 116,507.59

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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.